Talks
The division algorithm using 1-foams and cobordisms.
Nov 2024, TBA [abstract, slides]
Tensor categories, quantum symmetries and mathematical physics, MATRIX, University of Melbourne, Australia.
Oct 2024, TBA [abstract, slides]
Algebraic, combinatorial and geometric aspects of representation theory, Georgia Southern University, Savannah, GA.
Sept 2024, TBA [abstract, slides]
A Showcase of Algebraic Geometry at Undergraduate Institutions, University of Texas, San Antonio, TX.
Aug 2024, TBA [abstract, slides]
Pure Math Seminar, Department of Mathematics and Statistics, University of South Alabama, Mobile, AL.
May 2024, Diagrammatics of entropy and infinitesimal dilogarithms [abstract, slides]
Representation Theory and Related Geometry: Progress and Prospects, University of Georgia, Athens, GA.
April 2024, Diagrammatics of entropy and infinitesimal dilogarithms [slides]
Knots in Washington 49. 63/64, George Washington University, Washington, DC.
April 2024, Math Research and Math Careers Panel
Service Academy Student Mathematics Conference (SASMC), U.S. Air Force Academy, Colorado Springs, CO.
April 2024, Diagrammatics of infinitesimal dilogarithms and entropy [slides]
Geometry, Topology and Mathematical Physics Seminar, Department of Mathematics and Applied Mathematics, Virginia Commonwealth University, Richmond, VA.
Mar 2024, Automata and Boolean TQFT, and pseudocharacters [abstract, slides]
Department of Mathematics, Johns Hopkins University, Baltimore, MD.
Mar 2024, Diagrammatics of entropy and cocycles [abstract, slides]
Wireless Network Theory, US Naval Research Laboratory, Alexandria, VA.
Mar 2024, Diagrammatics of infinitesimal dilogarithms and entropy [slides]
14th Southeastern Lie Theory Workshop: Quantum Structures in Lie Theory, University of Virginia, Charlottesville, VA.
Feb 2024, Diagrammatics of infinitesimal dilogarithms and entropy [abstract, slides]
China US Group Theory Conference 2024, University of Florida, Gainesville, FL.
Dec 2023, Universal construction, one-dimensional cobordisms with defects, and pseudocharacters [slides]
Knots in Washington 49.98675, George Washington University, Washington, DC.
Nov 2023, Correspondence between automata and one-dimensional Boolean topological theories and TQFTs [abstract, slides]
Colloquium, Department of Mathematics and Statistics, Saint Louis University, Saint Louis, MO.
Nov 2023, Correspondence between automata and one-dimensional Boolean topological theories and TQFTs [slides]
Algebraic Geometry Seminar, AG@PUI, Fordham University, Bronx, NY.
Sept 2023, Correspondence between irreducible components of two-row Springer fibers of classical type and Nakajima quiver varieties [abstract, slides]
Representation theory and flag varieties, University at Buffalo, Buffalo, NY.
Sept 2023, Connections between one-dimensional cobordisms with defects and pseudocharacters [abstract, slides]
Combinatorial and Categorical Techniques in Representation Theory, University at Buffalo, Buffalo, NY.
July 2023, Borel analogues of the Hilbert scheme of points on commutative surfaces
Gong Show, Physical Mathematics of Quantum Field Theory, University of Massachusetts, Amherst, MA.
June 2023, Universal construction, one-dimensional cobordisms with defects, and pseudocharacters [slides]
Representation theory of Hecke algebras and categorification, Okinawa Institute of Science and Technology, Okinawa, Japan.
May 2023, Universal construction, one-dimensional cobordisms with defects, and pseudocharacters [slides]
Instantons and Foams, Massachusetts Institute of Technology, Cambridge, MA.
May 2023, Universal construction, one-dimensional cobordisms with defects, and pseudocharacters [abstract, slides]
Southeastern Lie Theory Workshop XIII, North Carolina State University, Raleigh, NC.
April 2023, Universal construction, one-dimensional cobordisms with defects, and pseudocharacters [abstract, slides]
Maurice Auslander Distinguished Lectures and International Conference, Woods Hole Oceanographic Institution, Quissett Campus, Woods Hole, MA.
April 2023, One-dimensional cobordisms with defects and pseudocharacters [abstract, slides]
Interactions Between Noncommutative Ring Theory and Algebraic Geometry, University of Cincinnati, Cincinnati, OH.
Mar 2023, The category of finite-dimensional integrable representations of the periplectic Lie superalgebra [abstract, slides]
Representation Theory of Algebraic Groups and Quantum Groups: A Tribute to the Work of Cline, Parshall and Scott (CPS), Georgia Institute of Technology, Atlanta, GA.
Mar 2023, Universal construction, one-dimensional cobordisms with defects, and pseudocharacters [abstract, slides]
Knots, Skein Modules and Categorification, Georgia Institute of Technology, Atlanta, GA.
Mar 2023, Nakajima quiver varieties and irreducible components of two-row Springer fibers for all classical types [abstract, slides]
Geometric and Combinatorial Aspects of Lie Theory, Georgia Institute of Technology, Atlanta, GA.
Mar 2023, Correspondence between automata and one-dimensional Boolean topological theories and TQFTs [abstract, slides]
Geometric/Topological Quantum Field Theories and Cobordisms, NYU Abu Dhabi, Abu Dhabi, United Arab Emirates.
Feb 2023, From a topological theory via defects to representation theory and computation [abstract, slides]
Geometry, Symmetry and Physics seminar, Department of Mathematics, Yale University, New Haven, CT.
Feb 2023, Automata and topological theories [abstract, slides]
Category Theory seminar, Department of Mathematics, CUNY Graduate Center, New York, NY.
Dec 2022, From a topological theory via defects to automata and representation theory [slides]
Knots in Washington 49.875, Department of Mathematics, George Washington University, Washington, DC.
Nov 2022, From a topological theory via defects to representation theory and computation [slides]
Colloquium, Department of Mathematics, University of Georgia, Athens, GA.
Nov 2022, On the geometric structure of the affine quotient of the cotangent bundle of extended Borel subalgebra
Open problems in algebraic combinatorics, Department of Mathematics, US Naval Academy, Annapolis, MD.
Nov 2022, Open problems and related discussion sessions
Knot theory meets computer science, Dublin Institute for Advanced Studies, Dublin, Ireland.
Nov 2022, One-dimensional topological quantum field theories with zero-dimensional defects and finite state automata [slides]
Knot theory meets computer science, Dublin Institute for Advanced Studies, Dublin, Ireland.
Oct 2022, One-dimensional topological quantum field theories with zero-dimensional defects and finite state automata [slides]
Maurice Auslander Distinguished Lectures and International Conference, Woods Hole Oceanographic Institute, Quissett Campus, Woods Hole, MA.
Aug 2022, One-dimensional topological quantum field theories with zero-dimensional defects and finite state automata [slides]
Workshop on Symmetric Spaces, Their Generalizations, and Special Functions, The Fields Institute for Research in Mathematical Sciences, University of Ottawa, Ottawa, Ontario, Canada.
Aug 2022, One-dimensional topological quantum field theories with zero-dimensional defects and finite state automata [slides]
QUAntum groups, Categorification, Knot invariants, and Soergel bimodules II (QUACKS II: QUACKS reducks), University of Oregon, Eugene, OR.
June 2022, Informal networking
Geometric and Categorical Aspects of Representation Theory and Related Topics, AWM Research Symposium, Institute for Mathematics and its Applications, University of Minnesota, Minneapolis, MN.
June 2022, TBA [slides; schedule conflict]
An invited address in memory of Georgia Benkart, AWM Research Symposium, Institute for Mathematics and its Applications, University of Minnesota, Minneapolis, MN.
June 2022, One-dimensional topological quantum field theories with zero-dimensional defects and finite state automata [slides]
Facets of Noncommutative Geometry (conference dedicated to the influence and memory of Tom Nevins), University of Illinois Urbana-Champaign, Urbana, IL.
June 2022, One-dimensional topological quantum field theories with zero-dimensional defects and finite state automata [slides]
Fourth Canada-Mexico-USA Conference in Representation Theory, Noncommutative Algebra, and Categorification, Northeastern University, Boston, MA.
May 2022, Professors at Sea Experience Panel
Center of Teaching and Learning Conference, United States Naval Academy, Annapolis, MD.
April 2022, One-dimensional topological theories with decorations and finite state automata [slides]
Knots in Washington Conference 49.75, George Washington University, Washington, DC.
April 2022, One-dimensional topological theories with zero-dimensional defects and finite state automata [slides]
Categorical Methods in Representation Theory and Quantum Topology, Department of Mathematics, University of Virginia, Charlottesville, VA.
April 2022, Topological theories and automata [slides]
TX-OK Representations and Automorphic forms XI, Department of Mathematics, Oklahoma State University, Stillwater, OK.
April 2022, One-dimensional topological theories with zero-dimensional defects and finite state automata [slides]
TX-OK Representations and Automorphic forms XI, Department of Mathematics, Oklahoma State University, Stillwater, OK.
March 2022, Nakajima quiver varieties and irreducible components of two-row Springer fibers for all classical types [abstract, slides]
Interactions Between Noncommutative Ring Theory and Algebraic Geometry, University of Virginia, Charlottesville, VA.
March 2022, One-dimensional topological theories with zero-dimensional defects and finite state automata [abstract, slides]
Special Session on Representation Theory of Algebraic Groups and Quantum Groups: A Tribute to the Work of Cline, Parshall and Scott (CPS), University of Virginia, Charlottesville, VA.
Feb 2022, One-dimensional topological theories with zero-dimensional defects and finite state automata
Colloquium, Department of Mathematics, Louisiana State University, Baton Rouge, LA.
Dec 2021, Introduction to representations of wreath products and foams [slides]
Knots in Washington 49.5, George Washington University, Washington, D.C.
Nov 2021, Iterated wreath products and foams, with applications [slides]
Algebra Seminar, Department of Mathematics, University at Buffalo, Buffalo, NY.
Nov 2021, Iterated wreath products and foams, with applications [abstract, slides]
Mathematical Physics and Representation Theory Seminar, Department of Mathematics, Louisiana State University, Baton Rouge, LA.
Nov 2021, Grothendieck rings of periplectic Lie superalgebras [slides]
Northeast Women in Algebra and Combinatorics Conference Celebrating the 50th Anniversary of the Association of Women in Mathematics, Department of Mathematics and Statistics, University at Albany, Albany, NY.
Nov 2021, Iterated wreath products and foams, with applications to field extensions, Sylvester sums, and matrix factorizations [poster, slides]
ICERM, Brown University, Providence, RI.
Oct 2021, Grothendieck rings of periplectic Lie superalgebras [abstract, slides]
Southeastern Lie Theory Workshop XII, College of Charleston, Charleston, SC.
Oct 2021, Irreducible components of two-row Springer fibers for all classical types [slides]
Quiver representations: bridging theory and application, Creighton University, Omaha, NE.
Oct 2021, Singularities of the extended Grothendieck-Springer resolution [abstract, slides]
Algebra Seminar, Department of Mathematics, University of Virginia, Charlottesville, VA.
Sept 2021, Resolutions of singularities and geometric invariant theory [abstract, notes]
Pathways, Alphabet Inc., Google, Mountain View, CA and New York, NY.
Sept 2021, Careers for Mathletics Panel
Department of Mathematical Sciences, United States Military Academy, West Point, NY.
Aug 2021, Explicit constructions of Hilbert schemes as blow-ups [notes]
Algebraic Geometry Research Community, American Institute of Mathematics, San Jose, CA.
Aug 2021, Singularities of a modification of the Grothendieck-Springer resolution [slides]
D-modules, Group Actions, and Frobenius: Computing on Singularities, ICERM, Brown University, Providence, RI.
Aug 2021, Singular varieties, symplectic resolutions, and Hilbert schemes [notes]
Algebraic Geometry Research Community, American Institute of Mathematics, San Jose, CA.
Aug 2021, Academic Advising and Registration for Plebes/Freshmen
Academic Dean, United States Naval Academy, Annapolis, MD.
July 2021, Academic Advising and Orientation for Plebes/Freshmen
Academic Dean, United States Naval Academy, Annapolis, MD.
June 2021, Panel Discussion at the Quantum Week conference in Korea [poster, website]
Women in Quantum, One Quantum, Ministry of Science and ICT and Quantum Information Research Support Center, Seoul, South Korea.
June 2021, Quantization appearing in geometry, algebra, topology, and communication channels [poster, website, slides]
Women in Quantum, One Quantum, Ministry of Science and ICT and Quantum Information Research Support Center, Seoul, South Korea.
June 2021, Image processing using matrices [lecture]
Naval Academy Summer Seminar for high school students, United States Naval Academy, Annapolis, MD.
June 2021, Image processing using matrices [lecture]
Naval Academy Summer Seminar for high school students, United States Naval Academy, Annapolis, MD.
June 2021, Irreducible components of two-row Springer fibers for all classical types
RepNet Virtual Seminar, International Centre for Mathematical Sciences, University of Edinburgh, Edinburgh, Scotland.
May 2021, Panning with Gold or Algebras with Strings [lecture]
Math E-Carnival, Women and Math, Institute for Advanced Study and Princeton Public Library, Princeton, NJ.
April 2021, Irreducible components of two-row Springer fibers for all classical types
Interactions between representation theory, Poisson geometry, and noncommutative algebra, University of Cincinnati, Cincinnati, OH.
April 2021, Linearization, invariants, and categorification
Naval Academy Research Council Seminar (Academy-Wide), United States Naval Academy, Annapolis, MD.
March 2021, Denominator identities for the periplectic Lie superalgebra
Superalgebras, quantum groups, and related topics, Georgia Institute of Technology, Atlanta, GA.
Jan 2021, Nakajima quiver varieties and irreducible components of Springer fibers
Algebraic and Arithmetic Geometry, Joint Mathematics Meeting, Walter E. Washington Convention Center, Washington, DC.
Oct 2020, Natural transformations between induction and restriction on iterated wreath product of symmetric group of order 2
Monoidal Categories in Representation Theory, University of Utah, Salt Lake City, UT.
Fall 2020, TBA
Representation theory seminar, Department of Mathematics, University of Illinois, Urbana, IL.
Fall 2020, On research, teaching, and service
AWM Professional Development Workshop, Department of Mathematics, University of Illinois, Urbana, IL.
August 2020, Nakajima quiver varieties and irreducible components of Springer fibers
Representation Theory Seminar, Department of Mathematics, University of Massachusetts, Amherst, MA.
August 2020, Introduction to Direction Fields
Department of Mathematics, US Naval Academy, Annapolis, MD.
June 2020, Genetic optimization algorithms applied toward mission computability models
Military Operations Research Society, 88th Symposium, New London, CT.
May 2020, Nakajima quiver varieties and irreducible components of Springer fibers
Algebraic (and enumerative) combinatorics seminar, Faculty of Mathematics, University of Waterloo, Ontario, Canada.
April 2020, Nakajima quiver varieties and irreducible components of Springer fibers
Algebra and Number Theory Seminar, Department of Mathematics and Statistics, Oakland University, Rochester, MI.
April 2020, Monte Carlo methods on a fixed volume system of Silicon-Germanium atoms [abstract]
SPIE Defense and Security, Anaheim Convention Center, Anaheim, CA.
April 2020, Solving machine learning optimization problems using quantum computers [abstract]
SPIE Defense and Security, Anaheim Convention Center, Anaheim, CA.
March 2020, On the category of finite-dimensional representations of periplectic Lie superalgebras [abstract]
Representation Theory of Algebraic Groups and Quantum Groups: A Tribute to the Work of Cline, Parshall and Scott (CPS), University of Virginia, Charlottesville, VA.
February 2020, Central limit theorem and related topics
Lecture, Department of Mathematical Sciences, Rutgers University, Camden, NJ.
February 2020, Nakajima quiver varieties and irreducible components of Springer fibers
Colloquium, Department of Mathematical Sciences, Rutgers University, Camden, NJ.
February 2020, Inverse functions and properties of logarithms
Lecture, Department of Mathematics, University of North Carolina, Wilmington, NC.
February 2020, Nakajima quiver varieties and irreducible components of Springer fibers
Colloquium, Department of Mathematics, University of North Carolina, Wilmington, NC.
February 2020, Nakajima quiver varieties and irreducible components of Springer fibers [abstract]
Colloquium, Department of Mathematics, United States Naval Academy, Annapolis, MD.
Jan 2020, Parabolic moment maps, quiver varieties and flag Hilbert schemes
Informal lecture, Department of Mathematics, Galatasaray University, Istanbul, Turkey.
Nov 2019, Nakajima quiver varieties and irreducible components of Springer fibers I [abstract]
Geometric Methods in Representation Theory, Department of Mathematics, University of California, Riverside, CA.
Nov 2019, The geometry of parabolic Hamiltonian reduction [abstract]
Canonical Bases, Cluster Structures and Non-Commutative Birational Geometry, University of California, Riverside, CA.
Nov 2019, Towards quantization of degenerate affine Brauer superalgebras [abstract]
Geometry and Representation Theory of Quantum Algebras and Related Topics, University of California, Riverside, CA.
Oct 2019, Optimization problems on low SWAP tactical computing platforms [abstract]
27th Annual ARL/USMA Research Symposium, United States Military Academy, West Point, NY.
Sept 2019, Almost-commuting varieties with a (partial) flag [abstract]
Algebra seminar, Department of Mathematics, University of Georgia, Athens, GA.
Sept 2019, Informal discussions
Association for Women in Mathematics, Department of Mathematics, University of Georgia, Athens, GA.
July 2019, Research opportunities at the Army Research Laboratory
National Academies of Sciences and Army Research Laboratory visitation, United States Military Academy, West Point, NY.
July 2019, Introduction to CoCalc, a collaborative algebraic system and multi-platform in the cloud
International Workshop on Free and Practical Software for Algebraic Combinatorics, University of Ljubljana, Ljubljana, Slovenia.
May 2019, The geometry of parabolic Hamiltonian reduction [abstract]
Geometric and Categorical Representation Theory, Southeastern Lie Theory XI, Louisiana State University, Baton Rouge, LA.
April 2019, Optimization problems with low SWAP tactical computing platforms [abstract]
SPIE Defense and Security: Disruptive Technology in Information Sciences, Baltimore Convention Center, Baltimore, MD.
April 2019, The geometry of Borel Hamiltonian reduction [abstract]
Representation Theory of Quantum Algebras and Related Topics, University of Connecticut, Hartford, CT.
April 2019, The geometry of almost-commuting varieties with a flag
Research visit, Department of Mathematics, University of Connecticut, Storrs, CT.
April 2019, The Grothendieck ring of the periplectic Lie superalgebra
Texas-Oklahoma Representations and Automorphic Forms X, University of North Texas, Denton, TX.
April 2019, Natural transformations between induction and restriction on iterated symmetric group algebras
Texas-Oklahoma Representations and Automorphic Forms X, University of North Texas, Denton, TX.
April 2019, Algebraic structures in string diagrams [abstract]
Department of Mathematics, State University of New York, New Paltz, NY.
March 2019, The reduced Grothendieck ring of the periplectic Lie superalgebra [abstract]
Interactions between Noncommutative Algebra and Noncommutative Algebraic Geometry, University of Hawaii at Manoa, Honolulu, HI.
February 2019, An invitation to differential geometry
Lecture, Department of Mathematics, Galatasaray University, Istanbul, Turkey.
February 2019, Almost-commuting varieties with a flag [abstract]
Colloquium, Department of Mathematics, Galatasaray University, Istanbul, Turkey.
January 2019, The geometry of almost-commuting varieties with a flag
Algebra seminar, Department of Mathematics, Bar-Ilan University, Ramat Gan, Israel.
Oct 2018, Representations of degenerate affine Brauer superalgebras [abstract, slides]
Combinatorial and Categorical Aspects of Representation Theory, San Francisco State University, San Francisco, CA.
Oct 2018, A geometric construction of beta super-functions on super-Grassmannians [abstract]
26th Annual ARL/USMA Research Symposium, Mallette Training Facility, APG, MD.
Oct 2018, Study of quantum computation and quantum topology in a mission environment
26th Annual ARL/USMA Research Symposium, Mallette Training Facility, Aberdeen Proving Ground, MD.
July 2018, On quantum programmable computers, quantum computation, and optimization problem in mission computability
National Academy of Sciences and Army Research Lab, United States Military Academy, West Point, NY.
July 2018, Research and code presentation
Combinatorics and Representation Theory, ICERM, Brown University, Providence, RI.
July 2018, A construction of the affine VW supercategory
Combinatorics and Representation Theory, ICERM, Brown University, Providence, RI.
June 2018, An investigation towards higher Schur-Weyl duality for the periplectic Lie superalgebra
The 13th Brauer group Conference, Colorado State University Mountain Campus, Bellvue, CO.
June 2018, On the affine VW supercategory
Southeastern Lie Theory Workshop X, University of Georgia, Athens, GA.
June 2018, On the affine VW supercategory
Interactions of Quantum Affine Algebras with Cluster Algebras, Current Algebras and Categorification, Catholic University of America, Washington, DC.
May 2018, On the representation theory of periplectic Lie superalgebras and affine VW supercategory
Algebra seminar, Department of Mathematics, Jan Kochanowski University, Kielce, Poland.
April 2018, Synchronization of programmable quantum and classical communication channels [abstract]
SPIE Defense and Security, Gaylord Palms Resort and Convention Center, Orlando, FL.
April 2018, On the affine VW supercategory
Texas-Oklahoma Representations and Automorphic Forms IX, Department of Mathematics, University of Oklahoma, Norman, OK.
March 2018, On a construction of the affine VW supercategory [abstract]
AMS Special Session: Noncommutative Algebra and Noncommutative Algebraic Geometry, Ohio State University, Columbus, OH.
Dec 2017, On higher cohomology vanishing for quiver flag varieties [abstract]
Algebra seminar, Department of Mathematics, Virginia Tech, Blacksburg, VA.
Oct 2017, A 1-categorification of Verma modules for sl(2) [abstract]
25th Annual ARL/USMA Research Symposium, Mallette Training Facility, APG, MD.
Aug 2017, On quantum programmable computers
National Academy of Sciences and Army Research Laboratory, Department of Mathematics Sciences, USMA, West Point, NY.
July 2017, Cohomological properties of certain quiver flag varieties [abstract]
Algebra Extravaganza, Temple University, Philadelphia, PA.
July 2017, On the category of finite-dimensional representations of periplectic Lie superalgebras
Algebra Extravaganza, Temple University, Philadelphia, PA.
July 2017, The category of finite-dimensional representations of periplectic Lie superalgebras [abstract]
ACA 2017, Jerusalem College of Technology, Jerusalem, Israel.
July 2017, On the finite-dimensional periplectic Lie superalgebra representations
Algebra seminar, Department of Mathematics, Bar-Ilan University, Ramat Gan, Israel.
July 2017, The category of finite-dimensional representations of strange Lie superalgebras
Algebraic Modes of Representations: The Canicular Days, The Faculty of Mathematics and Computer Science, Weizmann Institute of Science, Rehovot, Israel.
June 2017, Compatibility using vectors and matrices
Summer Leaders Experience mathematics workshop, Department of Mathematical Sciences, West Point, NY.
Taught 24 lectures to 384 students, including a lecture during Brigadier General (Dean) Cindy R. Jebb's visit.
May 2017, The category of finite-dimensional integrable representations of the periplectic Lie superalgebra
Representation Theory at the Crossroads of Modern Mathematics, Moulin de la Housse, Reims, France.
April 2017, On the representation theory of periplectic Lie superalgebras [abstract]
Representation theory seminar, Department of Mathematics, University of Massachusetts, Amherst, MA.
April 2017, Challenge problems: luncheon workshop instructor
Sonia Kovalevsky Day, Department of Mathematical Sciences, United States Military Academy, West Point, NY.
April 2017, Diagram algebras for middle school and high school female students from NYC
Sonia Kovalevsky Day, Department of Mathematical Sciences, United States Military Academy, West Point, NY.
Taught 27 students and 10 professional visitors.
April 2017, Representations of signed affine Brauer algebras [abstract]
AWM Research Symposium, WINART: Representations of Algebras, University of California, Los Angeles, CA.
April 2017, Constructing symplectic varieties using geometric invariant theory
AWM Research Symposium, University of California, Los Angeles, CA.
April 2017, Representations of affine Nazarov-Wenzl algebras [abstract]
Texas-Oklahoma Rep. and Automorphic forms VIII, Oklahoma State University, Stillwater, OK.
Jan 2017, On the geometry of filtered representations of quivers and connections to isospectral Hilbert schemes [abstract]
JMM: Representations and Related Geometry in Lie Theory, Hyatt Regency, Atlanta, GA.
Jan 2017, Higher Schur-Weyl duality for Lie supersubalgebras [abstract]
JMM: New Developments in Noncommutative Algebra and Representation Theory, Hyatt Regency, Atlanta, GA.
Dec 2016, Drones and Route Planning: flight planning and flying drones
Raider-Black Knight STEM Seminar, United States Military Academy, West Point, NY.
Taught 80 middle school students and 5 professional visitors.
Dec 2016, Drones and Route Planning: flight planning and flying drones
Raider-Black Knight STEM Seminar, United States Military Academy, West Point, NY.
Dec 2016, Drones and Route Planning: flight planning and flying drones
Raider-Black Knight STEM Seminar, United States Military Academy, West Point, NY.
Nov 2016, Research and code presentation
Combinatorics, Symbolic Dynamics, Einstein Institute of Mathematics, Hebrew University, Jerusalem, Israel.
Nov 2016, Quiver Hecke algebras and related geometric constructions
Combinatorics, Symbolic Dynamics, Einstein Institute of Mathematics, Hebrew University, Jerusalem, Israel.
Oct 2016, Connecting Grothendieck-Springer resolutions to the isospectral Hilbert scheme via universal quiver flags [abstract]
Workshop on Symplectic Varieties and Geometric Representation Theory, University of North Carolina, Chapel Hill, NC.
Oct 2016, Towards programmable quantum networks [abstract]
24th Annual ARL/USMA Research Symposium, Mallette Training Facility, Aberdeen Proving Ground, MD.
Oct 2016, Connections between the geometry of Grothendieck-Springer resolutions and the isospectral Hilbert scheme [abstract]
24th Annual ARL/USMA Research Symposium, Mallette Training Facility, Aberdeen Proving Ground, MD.
Sept 2016, Quiver-graded Grothendieck-Springer resolutions and the isospectral Hilbert scheme [abstract]
Colloquium, City College of New York, New York, NY.
Aug 2016, An approach to a categorification of infinite dimensional modules for sl(2)
International Conference on Representations of Algebras, Syracuse University, Syracuse, NY.
May 2016, Towards a categorification of infinite-dimensional modules
Algebraic Groups, Quantum Groups and Geometry, University of Virginia, Charlottesville, VA.
April 2016, Techniques toward a categorification of sl(2)-Verma modules [abstract]
Topology and Algebra Research Symposium, Sam Houston State University, Huntsville, TX.
March 2016, Categorical representation theory and geometrization of quiver Hecke algebras toward constructing higher categorical structure for Verma modules [abstract]
Department of Physics, University of Georgia, Athens, GA.
March 2016, A categorification of sl(2)-Verma modules [abstract]
AMS Special Session: Algebraic Structures in Mathematical Physics: Lie Algebras, Vertex Algebras, Quantum Algebras, University of Georgia, Athens, GA.
Jan 2016, On the categorification of Verma modules for sl(2) [abstract]
JMM: AMS Session on Algebraic Geometry, Washington State Convention Center, Seattle, WA.
Oct 2015, On families of orthogonal Laurent polynomials, hyperelliptic Lie algebra and elliptic integrals [abstract]
23rd Annual ARL/USMA Research Symposium, Mallette Training Facility, Aberdeen Proving Ground, MD.
Sept 2015, The multidimensional aspects of quiver-graded Grothendieck-Springer resolutions [abstract]
Colloquium, Department of Mathematics, College of Charleston, Charleston, SC.
July 2015, Faculty development math lecture
Faculty Development Workshop, Department of Mathematical Sciences, United States Military Academy, West Point, NY.
July 2015, Faculty development math lecture
Faculty Development Workshop, Department of Mathematical Sciences, United States Military Academy, West Point, NY.
June 2015, Connecting invariants associated to generalized Grothendieck-Springer resolutions to homotopy theory [abstract]
Algebra and Number Theory Seminar, Department of Mathematics, University of California, Santa Cruz, CA.
May 2015, From a quantum field theory to categorical representation theory
Colloquium, Pomona College, Claremont, CA.
April 2015, The geometric construction of KLR-algebras [abstract]
Florida Gulf Coast University, Fort Myers, FL.
April 2015, On quiver Hecke, quantum shuffle, and quantum cluster characters [abstract]
University of Maryland, College Park, MD.
March 2015, Research and code presentation
Algebraic Combinatorics, Coding Sprints, Department of Mathematics, University of California, Davis, CA.
March 2015, Generalized almost-commuting varieties to Grothendieck-springer resolutions associated to quivers: history, results, current development
Mathematics Colloquium, Fordham University, Bronx and Manhattan, NY.
Feb 2015, Departmental mathematics talk to the faculty
Colloquium, Department of Mathematical Sciences, United States Military Academy, West Point, NY.
Jan 2015, Quiver Hecke algebras and filtered quiver representations
Joint Mathematics Meeting, Henry B. Gonzalez Convention Center, San Antonio, TX.
July 2014, Filtered quiver representations, research presentation
Modern applications of representation theory, University of Chicago, Chicago, IL.
June 2014, Group research presentation
Representation theory in data analysis, Mathematics Research Communities, AMS, Salt Lake City, UT.
May 2014, On constructing invariants for generalized quiver varieties with applications to shape deformation in target and activity recognition [abstract]
Center for Naval Analyses, Arlington and Alexandria, VA.
May 2014, Viewing deformation of objects as equivalence classes of orbits on representation spaces and generalized quiver varieties
Algecom-10: Algebra, Geometry, and Combinatorics Day, University of Illinois, Urbana, IL.
April 2014, On filtered representations of quivers with at most two pathways and on the generalized Grothendieck-Springer resolution
Topology and Algebra Research Symposium, University of California, Berkeley, CA.
April 2014, Parabolic equivariant geometry in representation theory
Topology and Geometry Conference, University of Texas, Austin, TX.
Dec 2013, Applications of filtered quiver varieties in representation theory
Ballistic Missile Defense System Integration, Massachusetts Institute of Technology Lincoln Laboratory, Lexington, MA.
Nov 2013, The geometry of filtered quiver varieties
Colloquium, Mathematics Seminar, Department of Defense, Baltimore, MD.
Jan 2013, Invariants and semi-invariants of arbitrary filtered quiver varieties, poster presentation
Noncommutative Algebraic Geometry and Representation Theory, Mathematical Sciences Research Institute, Berkeley, CA.
April 2011, Matrix varieties: an analogue of the isospectral Hilbert scheme
Topology and Algebra Research Symposium, University of Iowa, Iowa City, IA.
Oct 2010, An analogue of the Hilbert scheme of n points on a complex plane
Midwest Algebraic Geometry Graduate Conference, University of Wisconsin, Madison, WI.
Sept 2008, An introduction to algebraic surfaces
Fano manifolds and Lagrangian fibration of symplectic manifolds, University of Warsaw, Lukecin, Poland.
July 2008, Singularities in Calabi-Yau varieties
Geometrical Singularities and Singular Geometries, Institute for Mathematics and its Applications, University of Minnesota, Minneapolis, MN.
United States Naval Academy
TBA, Basic Notions Seminar, One-dimensional topological quantum field theories with zero-dimensional defects and finite state automata.
April 2024, Research Committee, Grants Proposal Panel.
Sept 2021, Basic Notions Seminar, Applications of resolutions of singularities. [abstract]
April 2021, Naval Academy Research Council Seminar (academy-wide), Linearization, invariants, and categorification.
November 2020, Combinatorics, Algebra, & Topology Seminar, The geometry of parabolic Hamiltonian reduction.
United States Military Academy
March 2017, Working seminar on D-modules, Rings of differential operators and the Jacobian Conjecture III.
March 2017, Working seminar on D-modules, Rings of differential operators and the Jacobian Conjecture II.
February 2017, Working seminar on D-modules, The Jacobian Conjecture.
February 2017, Working seminar on D-modules, Properties of rings of differential operators.
February 2017, Working seminar on D-modules, Rings of differential operators.
February 2017, Working seminar on D-modules, Ideal structure of the Weyl algebra.
January 2017, Working seminar on D-modules, Ideal structure of the Weyl algebra.
January 2017, Working seminar on D-modules, On properties of Weyl algebras.
January 2017, Theoret. Math. seminar, Signed string diagrammatic algebras: an introduction to signed VW-algebras. [abstract]
January 2017, Theoret. Math. seminar, On the geometry of quiver Hecke algebras. [abstract]
August 2016, Theoret. Math. seminar, The scheme of filtered representations of quivers and geometric relations to the isospectral Hilbert scheme. [abstract]
April 2016, Theoret. Math. seminar, Towards a categorification of infinite-dimensional modules. [abstract]
April 2016, Theoret. Math. seminar, Constructing an algebra isomorphism between certain Brauer algebra and the endomorphism algebra of a module.
December 2015, Theoret. Math. seminar, A (geometric) categorification of Verma modules for U(sl(2)). [abstract]
September 2015, Theoret. Math. seminar, On the multifaceted geometric aspects of Grothendieck-Springer resolutions.
University of Illinois at Urbana-Champaign
May 2014, Graduate student alg. geom., Kazhdan-Lusztig polynomials, quiver Hecke algebras, and categorification. [abstract]
April 2014, Dissertation defense, On semi-invariants of filtered representations of quivers and the cotangent bundle of the Grothendieck-Springer resolution.
October 2013, AWM-Illinois, The evolution of invariant theory: from classics to modern.
October 2013, Graduate student algebraic geometry, The geometry of filtered quiver varieties.
December 2012, Algebraic geometry, Invariants and semi-invariants of filtered quiver representations.
November 2012, Pi Mu Epsilon: Illinois Honors Society, Quotients of curves and surfaces and higher-dimensional analogues.
November 2012, AWM-Illinois, Moduli problems through representations of quivers.
January 2012, Graduate geometry and topology, The Hamiltonian reduction of a certain affine variety.
December 2011, AWM-Illinois, Geometric invariant theory.
March 2011, Graduate geometry and topology, On a certain family of matrices in the context of algebraic geometry.
April 2010, Graduate AG working seminar, Higher-dimensional algebraic geometry: flips and flops in variational GIT.
April 2010, Graduate AG working seminar, Higher-dimensional algebraic geometry: uniruled and rationally connected varieties.
April 2010, Graduate AG working seminar, Higher-dimensional algebraic geometry: "bend-and-break" lemmas II.
April 2010, Graduate AG working seminar, Higher-dimensional algebraic geometry: "bend-and-break" lemmas I.
March 2010, Graduate AG working seminar, Divisors and 1-cycles, intersection numbers, and cone of curves.
March 2010, Graduate AG working seminar, Higher-dimensional algebraic geometry: parameterizing morphisms.
February 2010, Graduate AG working seminar, Higher order deformation and obstruction theory applied to subschemes, invertible sheaves, vector bundles, and coherent sheaves.
January 2010, Graduate AG working seminar, Deformation theory and higher dimensional algebraic geometry: understanding the first order deformation.
February 2010, AWM-Illinois, Introduction to intersection theory.
February 2009, AWM-Illinois, On algebraic surfaces.
April 2008, Graduate geometry and topology, Groebner bases, Hilbert basis theorem, and Buchberger's algorithm.
February 2008, AWM-Illinois, Geometric invariants of blow-ups and del Pezzo surfaces.
Other Professional Training
Faculty development workshop, with the Department of Mathematics, United States Naval Academy, Annapolis, MD.
Faculty development workshop, with the Department of Mathematical Sciences, United States Military Academy, West Point, NY.
Algebra research group funded by Vertical Integration of Research and Education in the mathematical sciences, with Brian Boe, Lenny Chastkofsky, and Dan Nakano, Department of Mathematics, University of Georgia, Athens, GA.
Mathematica programming to study Lie algebra cohomology, with Lenny Chastkofsky, Department of Mathematics, University of Georgia, Athens, GA.
Learning and Performance Support Laboratory, with Chandra Orrill, Professional Development, University of Georgia, Athens, GA.
Use nonstandard analysis to study Hausdorff measure and fractals of dimension less than 1, MPhil thesis at UBham, with Richard Kaye, Department of Mathematics, University of Birmingham, Birmingham, United Kingdom.
Use Monte Carlo methods to study surface properties of Silicon-Germanium atoms (semiconductors) in a fixed volume system, undergraduate REU at UGA, with David P Landau, Department of Physics, University of Georgia, Athens, GA.
Green's conjecture in low characteristics, undergraduate REU at UGA, with Bill Rulla, Department of Mathematics, University of Georgia, Athens, GA.
Theoretical physics research, undergraduate research at UGA, Department of Physics, Declined, schedule conflict, Department of Physics, University of Georgia, Athens, GA.
Singularities and desingularization, undergraduate REU at UGA, with Elham Izadi, Department of Mathematics, University of Georgia, Athens, GA.
CODES
KLR-algebras, with Peter McNamara, Travis Scrimshaw, Peter Tingley, etc. Implement quiver Hecke algebras, related algebras, and their representations in sage/python.
