Steven Klee

Teaching

• Current Courses:
  • MATH 2320: Linear Algebra

Professional Information

• My CV (last updated March 2019).
• Publications and preprints:
  1. (with Bhargav Narayanan and Lisa Sauermann) Sharp estimates for spanning trees, submitted, 2021. (preprint)
  2. (with Matthew Stamps) Eigenvalues of graph Laplacians via rank-one perturbations, submitted, 2020. (preprint)
  3. (with Ilan Adler, Jesus De Loera, and Zhenyang Zhang) Diameters of cocircuit graphs of oriented matroids: an update, submitted, 2020. (preprint)
  4. (with Nestor Iwanojko*, Bryn Lasher*, and Elena Volpi*) Enumerating lattice walks with prescribed steps, Journal of Integer Sequences, 23 (2020), no. 4, Article 20.4.3. (PDF)
  5. (with Matthew Stamps) Linear algebraic techniques for spanning tree enumeration, American Mathematical Monthly, 127 (2020), no. 4, 297-307. (preprint)
  6. (with Matthew Stamps) Linear algebraic techniques for weighted spanning tree enumeration, Linear Algebra and its Applications, 582 (2019), 391-402. (preprint)
  7. (with Satoshi Murai and Yusuke Suzuki) Exceptional balanced triangulations on surfaces, Graphs and Combinatorics, 35 (2019), 1361-1373.
  8. (with Brian Nugent*) Pure O-sequences arising from 2-dimensional PS ear-decomposable simplicial complexes, Electronic Journal of Combinatorics, 27 (2020), no. 3, Research Paper 17, 28 pp. (preprint)
  9. (with Jackson Evoniuk* and Van Magnan*) Enumerating minimal length lattice paths, Journal of Integer Sequences, 21 (2018), no. 3, Article 18.3.6. (PDF)
  10. (with Eran Nevo, Isabella Novik, and Hailun Zheng) A lower bound theorem for centrally symmetric simplicial polytopes, Discrete & Computational Geometry, 51 (2019), no. 3, 541-561. (preprint)
  11. (with Philip de Castro*, Desiree Domini*, Tom Edgar, Devon Johnson*, and Ranjani Sundaresan*) Counting binomial coefficients divisible by a prime power, American Mathematical Monthly, 125 (2018), no. 6, 531-541. (2016 SUMmER REU project)
  12. (with Philip de Castro*, Desiree Domini*, Tom Edgar, Devon Johnson*, and Ranjani Sundaresan*) Digital representations of rows of Pascal's triangles with no entries divisible by a fixed prime power, Pi Mu Epsilon Journal, 14 (2017), no. 7, 431-442. (2016 SUMmER REU project)
  13. (with Andre Bland*, Zoe Cramer*, Philip de Castro*, Desiree Domini*, Tom Edgar, Devon Johnson*, Joseph Koblitz*, and Ranjani Sundaresan*), Happiness is integral, but not rational, Math Horizons, 25 (2017), no. 1, 8-11. (2016 SUMmER REU project)
  14. Footballs and donuts in four dimensions, Snapshots of modern mathematics from Oberwolfach, no. 12/2016, 8pp. (article)
  15. (with Ivan Izmestiev and Isabella Novik) Simplicial moves on balanced complexes, Advances in Mathematics, 320 (2017), 82-114. (preprint)
  16. (with Maiya Loucks*, Samantha Meek*, Levi Overcast*, AJ Stewart, and Erik R. Tou) Bertrand's postulate over the Gaussian integers, Pi Mu Epsilon Journal, 14 (2018), no. 10, 627-638. (2015 SUMmER REU project, preprint)
  17. (with Hunter Lehmann* and Andrew Park*) Prime labeling of families of trees with the Gaussian integers, AKCE International Journal of Graphs and Combinatorics, 13, (2016), no. 2, 165-176. (2015 SUMmER REU project, preprint)
      • Hunter Lehmann* and Andrew Park*, Prime labeling of small trees with the Gaussian integers, Rose-Hulman Undergraduate Math Journal, 17 (2016), no. 1, 27pp. (2015 SUMmER REU project, part 2, preprint)
  18. (with Isabella Novik) Face enumeration on simplicial complexes, Recent trends in combinatorics, 653-686, IMA Vol. Math. Appl. 159, Springer, 2016. (preprint).
  19. (with Matthew Stamps) Graded Betti numbers of cycle graphs and standard Young tableaux, Journal of Combinatorics, 9, (2018), no. 1, 1-7. (preprint)
  20. (with Isabella Novik) Lower Bound Theorems and a Generalized Lower Bound Conjecture for balanced simplicial complexes, Mathematika, 62 (2016), 441-477. (preprint)
  21. (with Fintan Garrett*) Upper bounds for the number of spanning trees in a bipartite graph. (Undergraduate research project, summer 2014. preprint)
  22. (with José Alejandro Samper) Lexicographic shellability, matroids and pure order ideals, Advances in Applied Mathematics, 67 (2015), 1-19. (preprint)
      • Link to supplemental material and Sage code.
  23. (with Jonathan Browder) A classification of the face numbers of Buchsbaum simplicial posets, Mathematische Zeitschrift, 277 (2014), no. 3-4, 937-952. (preprint)
  24. (with Nima Imani*, Lee Johnson*, Mckenzie Keeling-Garcia*, and Casey Pinckney*) $h$-vectors of PS ear-decomposable graphs, Involve, 7-6 (2014), 743-750. (preprint) (undergraduate research project supervised during winter/spring 2013)
  25. (with Matthew Stamps) Face numbers of Engström representations of matroids, Discrete Mathematics, to appear. (preprint)
  26. (with Allan Edmonds) The combinatorics of hyperbolized manifolds, Mathematica Scandinavica, 117 (2015), no. 1, 31-63. (preprint)
  27. (with Isabella Novik) From flag complexes to banner complexes, SIAM Journal on Discrete Mathematics, 27 (2013), no. 2, 1146-1158. (preprint)
  28. (with Nicolai Hähnle and Vincent Pilaud) Obstructions to weak decomposability for simplicial polytopes, Proceedings of the American Mathematical Society, 142 (2014), 3249-3257. (preprint)
  29. (with Arvind Ayyer and Anne Schilling) Combinatorial Markov chains on linear extensions, Journal of Algebraic Combinatorics, 39 (2014), no. 4, 853-881. (preprint)
  30. (with Jesús De Loera) Transportation problems and simplicial polytopes that are not weakly vertex-decomposable, Mathematics of Operations Research, 37 (2012), no. 4, 670-674. (preprint)
  31. (with Sara Cohen* and Katherine Pannell*) Bistellar equivalences of two families of simplicial complexes, Journal of Combinatorial Mathematics and Combinatorial Computing, 89 (2014), 65-89. (UC Davis REU project supervised during summer 2011, preprint)
  32. (with Jesús De Loera and Yvonne Kemper) $h$-vectors of small matroid complexes, Electronic Journal of Combinatorics, 19 (2012), no. 1, Research Paper 14, 11pp. (preprint)
      • Link to supplemental materials -- code, statistics, and pure $O$-sequence data.
  33. (with Lauren Guerra*) Betti numbers of order preserving graph homomorphisms, Involve: a Journal of Mathematics, 5-1 (2012), 67-80. (preprint) (undergraduate research project supervised during winter/spring 2011)
  34. (with Isabella Novik) Centrally symmetric manifolds with few vertices, Advances in Mathematics, 229 (2012) 487-500. (preprint)
  35. (with Benjamin Braun and Jonathan Browder) Cellular resolutions of ideals defined by simplicial homomorphisms, Israel Journal of Mathematics, 196 (2013), no. 1, 321-344. (preprint)
  36. (with Jonathan Browder) Lower bounds for Buchsbaum* complexes, European Journal of Combinatorics, 32 (2011), 146-153. (preprint)
  37. Lower bounds for cubical pseudomanifolds, Discrete & Computational Geometry, 46 (2011), 212-222. (preprint)
  38. (with Michael Goff and Isabella Novik) Balanced complexes and complexes without large missing faces, Arkiv för Matematik, 49, no. 2, (2011), 335-350. (preprint)
  39. The fundamental group of balanced simplicial complexes and posets, Electronic Journal of Combinatorics, 16 (2009-10), no. 2, Research Paper 7, 12pp. (preprint)
  40. (with Leah Yates) Tight subdesigns of the Higman-Sims design, Rose-Hulman Undergrad. Math. J., 5 (2004), no. 2, 15pp. (written as an undergraduate)
  41. (with Rick Gillman and Lara Pudwell) On the edge set of graphs of lattice paths, Int. J. Math. Math. Sci. , 61 (2004), 3291-3299. (written as an undergraduate)

Outreach

• University of Washington Math Circle
• Monthly Math Hour at the University of Washington
• SIMUW