Steven Karp Department of Mathematics University of Michigan Ann Arbor, MI 48109-1043 Office: 4839 East Hall Email: snkarp@umich.edu

I am a math postdoc at the University of Michigan. I am interested in algebraic combinatorics.

CV

Teaching

• 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.
  

Preprints and publications

Also see arXiv, Google Scholar, and MathSciNet.

• (with Pavel Galashin and Thomas Lam) Regularity theorem for totally nonnegative flag varieties. arXiv:1904.00527
• Moment curves and cyclic symmetry for positive Grassmannians. arXiv:1805.06004
• (with Pavel Galashin and Thomas Lam) The totally nonnegative part of G/P is a ball. Adv. Math. (to appear). arXiv:1801.08953
• (with Lauren Williams and Yan Zhang) Decompositions of amplituhedra. Appendix written with Hugh Thomas. Ann. Inst. Henri Poincaré D (to appear). arXiv:1708.09525
• (with Pavel Galashin and Thomas Lam) The totally nonnegative Grassmannian is a ball. arXiv:1707.02010
• (with Lauren 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 Richard Anstee) Forbidden Configurations: Exact bounds determined by critical substructures. Electronic J. Combin. 17 (2010), no. 1, Research Paper 50, 27 pp.

Talk slides

• 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 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