Steven N. Karp LaCIM, Université du Québec à Montréal CP 8888, Succ. Centre-ville Montréal, QC, Canada H3C 3P8 Bureau: 4130 Pavillon Président-Kennedy Adresse courriel: karp.steven@courrier.uqam.ca

Je suis un stagiaire postdoctoral en mathématiques au LaCIM (Laboratoire de combinatoire et d'informatique mathématique) de l'UQAM. Je m'intéresse à la combinatoire algébrique.

I am a postdoctoral fellow in mathematics at LaCIM (Laboratoire de combinatoire et d'informatique mathématique) at UQAM. I am interested in algebraic combinatorics.

CV

Publications and preprints

Also see arXiv, Google Scholar, and MathSciNet.

• Wronskians, total positivity, and real Schubert calculus. arXiv:2110.02301
• (with Anthony M. Bloch) Gradient flows, adjoint orbits, and the topology of totally nonnegative flag varieties. arXiv:2109.04558
• (with John Machacek) Shelling the m=1 amplituhedron. arXiv:2104.02786
• (with Pavel Galashin and Thomas Lam) Regularity theorem for totally nonnegative flag varieties. J. Amer. Math. Soc. 35 (2022), no. 2, 513–579. arXiv:1904.00527
• Moment curves and cyclic symmetry for positive Grassmannians. Bull. Lond. Math. Soc. 51 (2019), no. 5, 900–916. arXiv:1805.06004
• (with Pavel Galashin and Thomas Lam) The totally nonnegative part of G/P is a ball. Adv. Math. 351 (2019), 614–620. arXiv:1801.08953
• (with Lauren K. Williams and Yan X Zhang) Decompositions of amplituhedra. Appendix written with Hugh Thomas. Ann. Inst. Henri Poincaré D 7 (2020), no. 3, 303–363. arXiv:1708.09525
• (with Pavel Galashin and Thomas Lam) The totally nonnegative Grassmannian is a ball. Adv. Math. 397 (2022), Paper No. 108123, 23 pp. arXiv:1707.02010
• (with Lauren K. Williams) The m=1 amplituhedron and cyclic hyperplane arrangements. Int. Math. Res. Not. IMRN (2019), no. 5, 1401–1462. arXiv:1608.08288
• Sign variation, the Grassmannian, and total positivity. J. Combin. Theory Ser. A 145 (2017), 308–339. arXiv:1503.05622
• (with R. P. Anstee) Forbidden Configurations: Exact bounds determined by critical substructures. Electronic J. Combin. 17 (2010), no. 1, Research Paper 50, 27 pp.

Teaching (University of Michigan)

• Winter 2019: Math 217 (Linear algebra), section 10.
  
• Fall 2018: Math 217 (Linear algebra), sections 1 and 4.
  
• Winter 2018: Math 566 (Algebraic combinatorics).
• Fall 2017: Math 115 (Calculus I), sections 18 and 38.
  

Talk slides

• University of Washington, April 2022: q-Whittaker functions, finite fields, and Jordan forms
  
• MFO mini-workshop, December 2021: Gradient flows on totally nonnegative flag varieties
  
• CMS winter meeting, December 2021: Wronskians, total positivity, and real Schubert calculus
  
• Center of Mathematical Sciences and Applications, November 2021: Gradient flows on totally nonnegative flag varieties
  
• North Carolina State University, October 2021: Wronskians, total positivity, and real Schubert calculus
  
• Washington University, September 2021: Wronskians, total positivity, and real Schubert calculus
  
• University of Waterloo, May 2021: q-Whittaker functions, finite fields, and Jordan forms
  
• Amplituhedron day, April 2021: Introduction to the amplituhedron
  
• CAAC 2021: q-Whittaker functions, finite fields, and Jordan forms
  
• AMS special session, October 2020: Regularity theorem for totally nonnegative flag varieties
  
• FPSAC 2020: Regularity theorem for totally nonnegative flag varieties
  
• ALGECOM-XIX: Topology of totally positive spaces
  
• LaCIM, Université du Québec à Montréal, January 2020: Topology of totally positive spaces
  
• The Ohio State University, March 2019: Combinatorics of the amplituhedron
  
• Massachusetts Institute of Technology and Microsoft Research, November 2018: Topology of positive spaces
  
• University of Massachusetts Amherst, November 2018: Combinatorics of the amplituhedron
  
• AMS special session, October 2018: Geometry of the amplituhedron
  
• FPSAC 2018: The totally nonnegative Grassmannian is a ball
  
• CAMP 2018: Geometry of the amplituhedron
  
• University of Michigan, October 2017: Topology of positive spaces
  
• University of Minnesota, Twin Cities, September 2017: Cyclic symmetry in the Grassmannian
  
• FPSAC 2017: The m=1 amplituhedron and cyclic hyperplane arrangements
  
• Texas State University, April 2016: Sign variation, the Grassmannian, and total positivity
  
• University of Michigan, February 2016: Sign variation, the Grassmannian, and total positivity
  
• FPSAC 2015: Sign variation, the Grassmannian, and total positivity