Mee Seong Im
Mathematics is the most beautiful and most powerful creation of the human spirit.
Chauvenet Hall, Office 342
Department of Mathematics
United States Naval Academy
Annapolis, MD 21402
Office: (410) 293-6776
Email: im [at] usna [dot] edu
Email: meeseongim [at] gmail [dot] com
Doctor of Philosophy (Ph.D.) in Mathematics at the University of Illinois at Urbana-Champaign
Master of Arts (M.A.) in Mathematics at the University of Georgia
Master of Philosophy (M.Phil.) in Mathematics at the University of Birmingham, England
Bachelor of Science (B.S.) in Physics at the University of Georgia
Bachelor of Science (B.S.) in Mathematics at the University of Georgia
I am a Tenure-Track Assistant Professor at the United States Naval Academy in Annapolis, MD effective July 6, 2020.
In Fall of 2020, I will teach 2 sections of SM122: Calculus II.
Co-organizer: I have organized two special sessions at the University of California at Riverside.
Diagrammatic algebras and categorification. Quiver Hecke algebras, modified Hecke algebras, quantum group, variations of Brauer algebras, Temperley-Lieb algebras.
Geometric constructions. Fiber bundles, Hilbert schemes and moduli spaces.
Equivariant geometry of algebraic groups, Lie algebras and superalgebras, (Grothendieck-)Springer resolutions, (exotic) Springer fibers, quiver flag varieties.
Keywords: geometric, categorical, combinatorial representation theory, and quantum topology.
On a certain bases of Lie superalgebra (tentative title), in progress.
On cohomological properties of quiver flag varieties (tentative title), in progress.
Certain holomorphic line bundles (tentative title), with M. Zakrzewski, in progress, 2020.
On certain Lie superalgebras (tentative title), with E. Norton and B. Westbury, in progress, 2020.
Natural transformations between induction and restriction on iterated symmetric group products, with C. Ozan Oguz, in preparation, 2020.
On certain invariants of a Lie superalgebra (tentative title), in preparation, 2020.
Quantum groups and colored HOMFLY-PT invariants (tentative title), in preparation, 2020.
Towards the affine and geometric invariant theory quotients of the Borel moment map, with M. Tosun, preprint (2020), 12 pages.
Suggestions to study affine and GIT quotients of the extended Grothendieck-Springer resolution, submitted, Sugaku (2019), 11 pages.
Examples relating to Green's conjecture in low characteristics and genera, with T. Estu, J. Manning, Z. Michaels, J. Pasko, W. Rulla and N. Wijesinghe, accepted upon revision, Experiment. Math. (2019), 15 pages.
A short proof on the transition matrix from the Specht basis to the Kazhdan-Lusztig basis, accepted upon revision, Rocky Mountain J. Math. (2019), 7 pages.
Nonstandard approach to Hausdorff outer measure, submitted, Math. Student (2019), 9 pages.
The Grothendieck ring of the periplectic Lie supergroup and supersymmetric functions, with S. Reif and V. Serganova, submitted, Sém. Lothar. Combin. (2019), 12 pages.
Transitioning between tableaux and spider bases for Specht modules, with J. Zhu, under revision, Algebr. Represent. Theory (2019), 21 pages.
Irreducible components of two-row Springer fibers and Nakajima quiver varieties, with C.-J. Lai and A. Wilbert, preprint (2019), 38 pages.
Denominator identities for the periplectic Lie superalgebra, with C. Hoyt and S. Reif, submitted, Transform. Groups (2019), 12 pages.
Grothendieck rings of periplectic Lie superalgebras, with S. Reif and V. Serganova, accepted, Math. Res. Lett. (2019), 15 pages.
On calibrated representations of the degenerate affine periplectic Brauer algebra, with Z. Daugherty, I. Halacheva, and E. Norton, accepted upon minor revision, Surv. Math. Appl. (2019), 11 pages.
The regularity of almost-commuting partial Grothendieck--Springer resolutions and parabolic analogs of Calogero--Moser varieties, with T. Scrimshaw, J. Lie Theory 31 (2021), no. 1, 22 pages.
Advances in the Mathematical Sciences, with A. Deines, D. Ferrero, E. Graham, C. Manore, C. Price, Springer International Publishing Switzerland 15 (2018), XIV, 1-270.
Categorification of Verma modules and indecomposable projective modules in the category I_g(sl(2)) for sl(2), with B. Cox, submitted, J. Phys. A (2018), 23 pages.
Translation functors and decomposition numbers for the periplectic Lie superalgebra p(n), with M. Balagovic, Z. Daugherty, I. Entova, I. Halacheva, J. Hennig, G. Letzter, E. Norton, V. Serganova and C. Stroppel, Math. Res. Lett. 26 (2019), no. 3, 643-710.
Unipotent invariants of filtered representations of quivers and the isospectral Hilbert scheme, with L. Jones, arXiv: 1608.02293, preprint (2016), 22 pages.
On semi-invariants of filtered representations of quivers and the cotangent bundle of the enhanced Grothendieck-Springer resolution, IDEALS 2142 (2014), no. 49392, 1-134.
Semi-invariants of filtered quiver representations with at most two pathways, arXiv: 1409.0702, preprint (2014), 11 pages.
The regularity of the cotangent bundle of the Grothendieck-Springer resolution, article (2013), 3 pages.
On Kostant's theorem for Lie algebra cohomology, with B. D. Boe, L. Chastkofsky, D. K. Nakano, J. R. Kujawa, E. Wiesner, I. Bagci, B. Connell, B. J. Cooper, M. S. Im, W. Li, K. J. Platt, C. B. Wright, B. Wyser and T. Kelly, Contemp. Math. 478 (2009), 39-60.
Nonstandard approach to Hausdorff measure theory and an analysis of some sets of dimension less than 1, eTheses Repository 5218 (2005), 1-103.
Selected Research Slides
Nov 2019, Nakajima quiver varieties and irreducible components of Springer fibers I
Nov 2019, The geometry of parabolic Hamiltonian reduction
Canonical Bases, Cluster Str. & Non-Comm. Birational Geom., Univ. of California, Riverside, CA. [slides]
Nov 2019, Towards quantization of degenerate affine Brauer superalgebras
Geometry and Rep. Thy. of Quantum Algs. & Related Topics, Univ. of California, Riverside, CA. [slides]
May 2019, The geometry of parabolic Hamiltonian reduction
Geom. & Categorical Rep. Thy., 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 Tech. in Inform. Sci., Baltimore Conv. Center, Baltimore, MD. [slides]
Apr 2019, The geometry of Borel Hamiltonian reduction
Rep. Thy. of Quantum Algebras and Related Topics, Univ. of Connecticut, Hartford, CT. [slides]
Apr 2019, Natural transformations between induction and restriction on iterated symm. group algebras
Texas-Oklahoma Reps. 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-dim'l integrable reps. 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 geom. of filtered reps. 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 poly., hyperelliptic Lie superalg. 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 constr. inv. for gen. quiv. var. with appl. to shape deform. in target & activity recognition
Center for Naval Analyses, Alexandria, VA. [slides]
Apr 2014, On filtered reps. of quiv. with at most two pathways & on the generalized GS resolution
University of California, Berkeley, CA. [slides]
Apr 2014, On semi-inv. of filt. reps. of quiv. and the cotang. bdle. of the enhanced GS 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]
As history proves abundantly, mathematical achievement, whatever its intrinsic worth, is the most enduring of all.
A Mathematician's Apology, by G. H. Hardy