Selected slides
A two-sheeted cover of an automaton.
May 2025, TBA
CanaDAM 2025, Canadian Discrete and Algorithmic Mathematics Conference, Ottawa, Canada. [slides]
Nov 2024, TBA
Tensor categories, quantum symmetries and mathematical physics, MATRIX, University of Melbourne, Australia. [slides]
Oct 2024, Constructing affine and GIT quotients from the Artin stack of the Grothendieck—Springer resolution
Algebraic, combinatorial and geometric aspects of representation theory, Georgia Southern University, Savannah, GA. [slides]
Sept 2024, Constructing affine and GIT quotients from the Artin stack of the Grothendieck—Springer resolution
A Showcase of Algebraic Geometry at Undergraduate Institutions, University of Texas, San Antonio, TX. [slides]
Fall 2024, TBA
Department of Mathematics, George Washington University, Washington, DC. [slides]
Aug 2024, TBA
Pure Math Seminar, Department of Mathematics and Statistics, University of South Alabama, Mobile, AL. [slides]
July 2024, TBA
Army Research Laboratory, Aberdeen Proving Ground, MD. [slides]
July 2024, Diagrammatics of entropy and infinitesimal dilogarithms
New structures in low-dimensional topology, Rényi Institute, Budapest, Hungary. [slides]
May 2024, Diagrammatics of entropy and infinitesimal dilogarithms
Representation Theory and Related Geometry: Progress and Prospects, University of Georgia, Athens, GA. [slides]
April 2024, Diagrammatics of entropy and infinitesimal dilogarithms
Knots in Washington 49. 63/64, George Washington University, Washington, DC. [slides]
April 2024, Diagrammatics of infinitesimal dilogarithms and entropy
Geometry, Topology and Mathematical Physics Seminar, Department of Mathematics and Applied Mathematics, Virginia Commonwealth University, Richmond, VA. [slides]
Mar 2024, Automata and Boolean TQFT, and pseudocharacters
Department of Mathematics, Johns Hopkins University, Baltimore, MD. [slides]
Mar 2024, Diagrammatics of entropy and cocycles
Wireless Network Theory, US Naval Research Laboratory, Alexandria, VA. [slides]
Mar 2024, Diagrammatics of infinitesimal dilogarithms and entropy
14th Southeastern Lie Theory Workshop: Quantum Structures in Lie Theory, University of Virginia, Charlottesville, VA. [slides]
Feb 2024, Diagrammatics of infinitesimal dilogarithms and entropy
China US Group Theory Conference 2024, University of Florida, Gainesville, FL. [slides]
Dec 2023, Universal construction, one-dimensional cobordisms with defects, and pseudocharacters
Knots in Washington 49.98675, George Washington University, Washington, DC. [slides]
Nov 2023, Correspondence between automata and one-dimensional Boolean topological theories and TQFTs
Colloquium, Department of Mathematics and Statistics, Saint Louis University, Saint Louis, MO. [slides]
Nov 2023, Correspondence between automata and one-dimensional Boolean topological theories and TQFTs
Algebraic Geometry Seminar, AG@PUI, Fordham University, Bronx, NY. [slides]
Sept 2023, Correspondence between irreducible components of two-row Springer fibers of classical type and Nakajima quiver varieties
Representation theory and flag varieties, University at Buffalo, Buffalo, NY. [slides]
Sept 2023, Connections between one-dimensional cobordisms with defects and pseudocharacters
Combinatorial and Categorical Techniques in Representation Theory, University at Buffalo, Buffalo, NY. [slides]
June 2023, Universal construction, one-dimensional cobordisms with defects, and pseudocharacters
Representation theory of Hecke algebras and categorification, Okinawa Institute of Science and Technology, Okinawa, Japan. [slides]
May 2023, Universal construction, one-dimensional cobordisms with defects, and pseudocharacters
Instantons and Foams, Massachusetts Institute of Technology, Cambridge, MA. [slides]
May 2023, Universal construction, one-dimensional cobordisms with defects, and pseudocharacters
Southeastern Lie Theory Workshop XIII, North Carolina State University, Raleigh, NC. [slides]
April 2023, Universal construction, one-dimensional cobordisms with defects, and pseudocharacters
Maurice Auslander Distinguished Lectures and International Conference, Woods Hole Oceanographic Institution, Quissett Campus, Woods Hole, MA. [slides]
April 2023, One-dimensional cobordisms with defects and pseudocharacters
Interactions Between Noncommutative Ring Theory and Algebraic Geometry, University of Cincinnati, Cincinnati, OH. [slides]
Mar 2023, The category of finite-dimensional integrable representations of the periplectic Lie superalgebra
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. [slides]
Mar 2023, Universal construction, one-dimensional cobordisms with defects, and pseudocharacters
Knots, Skein Modules and Categorification, Georgia Institute of Technology, Atlanta, GA. [slides]
Mar 2023, Nakajima quiver varieties and irreducible components of two-row Springer fibers for all classical types
Geometric and Combinatorial Aspects of Lie Theory, Georgia Institute of Technology, Atlanta, GA. [slides]
Mar 2023, Correspondence between automata and one-dimensional Boolean topological theories and TQFTs
Geometric/Topological Quantum Field Theories and Cobordisms, NYU Abu Dhabi, Abu Dhabi, United Arab Emirates. [slides]
Feb 2023, From a topological theory via defects to representation theory and computation
Geometry, Symmetry and Physics seminar, Department of Mathematics, Yale University, New Haven, CT. [slides]
Feb 2023, Automata and topological theories
Category Theory seminar, Department of Mathematics, CUNY Graduate Center, New York, NY. [slides]
Dec 2022, From a topological theory via defects to automata and representation theory
Knots in Washington 49.875, Department of Mathematics, George Washington University, Washington, DC. [slides]
Nov 2022, From a topological theory via defects to representation theory and computation
Colloquium, Department of Mathematics, University of Georgia, Athens, GA. [slides]
Nov 2022, One-dimensional topological quantum field theories with zero-dimensional defects and finite state automata
Knot theory meets computer science, Dublin Institute for Advanced Studies, Dublin, Ireland. [slides]
Oct 2022, One-dimensional topological quantum field theories with zero-dimensional defects and finite state automata
Maurice Auslander Distinguished Lectures and International Conference, Woods Hole Oceanographic Institute, Quissett Campus, Woods Hole, MA. [slides]
Aug 2022, One-dimensional topological quantum field theories with zero-dimensional defects and finite state automata
Workshop on Symmetric Spaces, Their Generalizations, and Special Functions, The Fields Institute for Research in Mathematical Sciences, University of Ottawa, Ottawa, Ontario, Canada. [slides]
Aug 2022, One-dimensional topological quantum field theories with zero-dimensional defects and finite state automata
QUAntum groups, Categorification, Knot invariants, and Soergel bimodules II (QUACKS II), University of Oregon, Eugene, OR. [slides]
June 2022, One-dimensional topological quantum field theories with zero-dimensional defects and finite state automata
Facets of Noncommutative Geometry: Dedicated to the influence and memory of Tom Nevins, Department of Mathematics, University of Illinois, Urbana, IL. [slides]
June 2022, One-dimensional topological quantum field theories with zero-dimensional defects and finite state automata
Fourth Canada-Mexico-USA Conference in Representation Theory, Noncommutative Algebra, and Categorification, Northeastern University, Boston, MA. [slides]
April 2022, One-dimensional topological theories with decorations and finite state automata
Knots in Washington Conference 49.75, George Washington University, Washington, DC. [slides]
April 2022, One-dimensional topological theories with zero-dimensional defects and finite state automata
Categorical Methods in Representation Theory and Quantum Topology, Department of Mathematics, University of Virginia, Charlottesville, VA. [slides]
April 2022, Topological theories and automata
TX-OK Representations and Automorphic forms XI, Department of Mathematics, Oklahoma State University, Stillwater, OK. [slides]
April 2022, One-dimensional topological theories with zero-dimensional defects and finite state automata
TX-OK Representations and Automorphic forms XI, Department of Mathematics, Oklahoma State University, Stillwater, OK. [slides]
Mar 2022, Nakajima quiver varieties and irreducible components of two-row Springer fibers for all classical types
Interactions Between Noncommutative Ring Theory and Algebraic Geometry, University of Virginia, Charlottesville, VA. [slides]
Mar 2022, One-dimensional topological theories with zero-dimensional defects and finite state automata
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. [slides]
Dec 2021, Introduction to representations of wreath products and foams
Knots in Washington, George Washington University, Washington, D.C. [slides]
Nov 2021, Iterated wreath products and foams, with applications
Algebra Seminar, Department of Mathematics, University at Buffalo, Buffalo, NY. [slides]
Nov 2021, Iterated wreath products and foams, with applications
Mathematical Physics and Representation Theory Seminar, Department of Mathematics, Louisiana State University, Baton Rouge, LA. [slides]
Nov 2021, Grothendieck rings of periplectic Lie superalgebras
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. [slides]
Nov 2021, Iterated wreath products and foams, with applications to field extensions, Sylvester sums, and matrix factorizations
ICERM, Brown University, Providence, RI. [slides]
Oct 2021, Grothendieck rings of periplectic Lie superalgebras
Southeastern Lie Theory Workshop XII, College of Charleston, Charleston, SC. [slides]
Oct 2021, Irreducible components of two-row Springer fibers for all classical types
Quiver representations: bridging theory and application, Creighton University, Omaha, NE. [slides]
Oct 2021, Singularities of the extended Grothendieck-Springer resolution
Algebra Seminar, Department of Mathematics, University of Virginia, Charlottesville, VA. [slides]
Sept 2021, Resolutions of singularities and geometric invariant theory
Pathways, Alphabet Inc., Google, Mountain View, CA and New York, NY. [notes]
Aug 2021, Explicit constructions of Hilbert schemes as blow-ups
Algebraic Geometry Research Community, American Institute of Mathematics, San Jose, CA. [notes]
Aug 2021, Singularities of a modification of the Grothendieck-Springer resolution
D-modules, Group Actions, and Frobenius: Computing on Singularities, ICERM, Brown University, Providence, RI. [slides]
Aug 2021, Singular varieties, symplectic resolutions, and Hilbert schemes
Algebraic Geometry Research Community, American Institute of Mathematics, San Jose, CA. [notes]
June 2021, Quantization appearing in geometry, algebra, topology, and communication channels
Women in Quantum, Quantum Week 2021, Seoul, South Korea. [slides]
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. [slides]
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. [slides]
April 2021, Linearization, invariants, and categorification
Naval Academy Research Council Seminar (Academy-Wide), United States Naval Academy, Annapolis, MD. [slides]
Mar 2021, Denominator identities for the periplectic Lie superalgebra
Superalgebras, Quantum Groups, and Related Topics, Georgia Institute of Technology, Atlanta, GA. [slides]
Nov 2020, The geometry of parabolic Hamiltonian reduction
Combinatorics, Algebra, & Topology Seminar, United States Naval Academy, Annapolis, MD. [slides]
Aug 2020, Nakajima quiver varieties and irreducible components of Springer fibers
Representation Theory Seminar, Department of Mathematics, University of Massachusetts, Amherst, MA. [slides]
Nov 2019, Nakajima quiver varieties and irreducible components of Springer fibers I
Geometric Methods in Representation Theory, Department of Mathematics, Univ. of California, Riverside, CA. [shorter version, slides]
Nov 2019, The geometry of parabolic Hamiltonian reduction
Canonical Bases, Cluster Structures & Non-Commutative Birational Geometry, University of California, Riverside, CA. [slides]
Nov 2019, Towards quantization of degenerate affine Brauer superalgebras
Geometry and Representation Theory of Quantum Algebras & Related Topics, Univ. of California, Riverside, CA. [slides]
May 2019, The geometry of parabolic Hamiltonian reduction
Geometric & Categorical Representation Theory, Southeastern Lie Theory XI, Louisiana State Univ., Baton Rouge, LA. [slides]
Apr 2019, Optimization problems with low SWAP tactical computing platforms
SPIE Defense & Security: Disruptive Technology in Information Sciences, Baltimore Conv. Center, Baltimore, MD. [slides]
Apr 2019, The geometry of Borel Hamiltonian reduction
Representation Theory of Quantum Algebras and Related Topics, Univ. of Connecticut, Hartford, CT. [slides]
Apr 2019, Natural transformations between induction and restriction on iterated symmetric group algebras
Texas-Oklahoma Representations and Automorphic Forms X, Univ. of North Texas, Denton, TX. [slides]
Apr 2019, The Grothendieck ring of the periplectic Lie superalgebra
Texas-Oklahoma Representations and Automorphic Forms X, Univ. of North Texas, Denton, TX. [poster]
Mar 2019, The reduced Grothendieck ring of the periplectic Lie superalgebra
University of Hawaii at Manoa, Honolulu, Hawaii. [slides]
Oct 2018, Representations of degenerate affine Brauer superalgebras
San Francisco State University, San Francisco, CA. [slides]
Oct 2018, A geometric construction of beta super-functions on super-Grassmannians
26th ARL-USMA Technical Symposium, Aberdeen Proving Ground, MD. [slides]
July 2018, A construction of the affine VW supercategory
ICERM, Brown University, Providence, RI. [slides]
June 2018, An investigation towards higher Schur-Weyl duality for the periplectic Lie superalgebra
Colorado State University Mountain Campus, Bellvue, CO. [slides]
June 2018, On the affine VW supercategory
Department of Mathematics, University of Georgia, Athens, GA. [slides]
May 2018, On the representation theory of periplectic Lie superalgebras and affine VW supercategory
Department of Mathematics, Jan Kochanowski University, Kielce, Poland. [slides]
Apr 2018, Synchronization of programmable quantum and classical communication channels
Apr 2018, On the affine VW supercategory
Department of Mathematics, University of Oklahoma, Norman, OK. [slides]
Mar 2018, On a construction of the affine VW supercategory
Ohio State University, Columbus, OH. [slides]
Dec 2017, On higher cohomology vanishing for quiver flag varieties
Department of Mathematics, Virginia Tech, Blacksburg, VA. [slides]
Oct 2017, A 1-categorification of Verma modules for sl(2)
25th ARL-USMA Technical Symposium, Aberdeen Proving Ground, MD. [poster]
Jul 2017, Cohomological properties of certain quiver flag varieties
College of Science and Technology, Temple University, Philadelphia, PA. [slides]
Jul 2017, The category of finite-dimensional representations of periplectic Lie superalgebras
Lev Campus of the Jerusalem College of Technology, Jerusalem, Israel. [slides]
Jul 2017, On the finite-dimensional periplectic Lie superalgebra representations
Department of Mathematics, Bar-Ilan University, Ramat Gan, Israel. [slides]
May 2017, The category of finite-dimensional integrable representations of the periplectic Lie superalgebra p(n)
University of Reims Champagne-Ardenne, Moulin de la Housse, Reims, France. [poster]
Apr 2017, Representations of signed affine Brauer algebras
University of California-Los Angeles, Los Angeles, CA. [slides]
Apr 2017, Representations of affine Nazarov-Wenzl algebras
Department of Mathematics, Oklahoma State University, Stillwater, OK. [slides]
Jan 2017, Higher Schur-Weyl duality for Lie superalgebras
Joint Mathematics Meeting (Lie supersubalgebras), Atlanta, GA. [slides]
Jan 2017, On the geometry of filtered representations of quivers and connections to isospectral Hilb. schemes
Joint Mathematics Meeting (geometry), Atlanta, GA. [slides]
Mar 2016, A categorification of sl(2)-Verma modules
AMS Sectional Meeting, University of Georgia, Athens, GA. [slides]
Jan 2016, On the categorification of Verma modules for sl(2)
Joint Mathematics Meeting, Seattle, WA. [slides]
Oct 2015, On families of orthogonal Laurent polynomials, hyperelliptic Lie superalgebras and elliptic integrals
Army Research Lab, Aberdeen Proving Ground, MD. [slides]
May 2015, From a quantum field theory to categorical representation theory
Pomona College, Claremont, CA. [slides]
Apr 2015, The geometric construction of KLR-algebras
Florida Gulf Coast University, Fort Myers, FL. [slides]
Apr 2015, On quiver Hecke, quantum shuffle, and quantum cluster characters
University of Maryland, College Park, MD. [poster]
Jan 2015, Quiver Hecke algebras and filtered quiver representations
Joint Mathematics Meeting, San Antonio, TX. [slides]
May 2014, On constructing invariants for generalized quiver varieties with applications to shape deformation in target and activity recognition
Center for Naval Analyses, Alexandria, VA. [slides]
Apr 2014, On filtered representations of quivers with at most two pathways and on the generalized Grothendieck--Springer resolution
University of California, Berkeley, CA. [slides]
Apr 2014, On semi-invariants of filtered representations of quivers and the cotangent bundle of the enhanced Grothendieck-Springer resolution
Doctoral defense, University of Illinois, Urbana, IL. [slides]
Dec 2013, Applications of filtered quiver varieties in representation theory
MIT Lincoln Laboratory, Lexington, MA. [slides]
