Address: |
Seattle University Department of Mathematics 901 12th Avenue Seattle, WA 98122-1090 |

Office: |
Bannan 420 |

Email: |
my-last-name-followed-by-my-first-initial [at] seattleu [dot] edu |

- Current Courses:
- MATH 3000: Introduction to Advanced Mathematics

- Past Courses:
- MATH 1332: Calculus 1b (Winter 2018)
- MATH 2080: Math for K-8 Teachers (Winter 2018)
- MATH 1331: Calculus 1a (Fall 2017)
- UCOR 1200: Quantitative Reasoning (Spring 2017)
- Math 3470: Graph Theory (Winter 2017)
- Math 2080: Math for K-8 Teachers (Winter 2017)
- Math 2320: Linear Algebra (Fall 2016)
- Math 2320: Linear Algebra (Spring 2016)
- Math 3910: Baseball Sabermetrics (Spring 2016)
- Math 2320: Linear Algebra (Spring 2015)
- Math 1334: Calculus I (Winter 2015)
- Math 2080: Math for K-8 Teachers (Winter 2015)
- Math 1322: Precalculus - Trigonometry (Fall 2014)
- Math 3000: Introduction to Advanced Mathematics (Fall 2014)
- Math 233: Linear Algebra (Spring 2014)
- Math 391: Graph Theory (Spring 2014)
- Math 200: Math for K-8 Teachers (Winter 2014)
- Math 310: Introduction to Advanced Mathematics (Winter 2014)
- Math 134: Calculus I (Fall 2013)
- Math 233: Linear Algebra (Spring 2013)
- Math 135: Calculus II (Spring 2013)
- Math 233: Linear Algebra (Winter 2013)
- Math 134: Calculus I (Fall 2012)

- My CV (last updated June 2017).
- I am an editor for the AMS Blog
*On Teaching and Learning Mathematics* - Publications and preprints:
- (with Jackson Evoniuk* and Van Magnan*) Enumerating minimal length lattice paths,
*Journal of Integer Sequences*,**21 (3)**(2018), Article 18.3.6. (PDF) - (with Eran Nevo, Isabella Novik, and Hailun Zheng) A lower bound theorem for centrally symmetric simplicial polytopes,
*Discrete & Computational Geometry*, to appear, 2017. (preprint) - (with Philip de Castro*, Desiree Domini*, Tom Edgar, Devon Johnson*, and Ranjani Sundaresan*) Counting binomial coefficients divisible by a prime power,
*American Mathematical Monthly*, to appear, 2017. (2016 SUMmER REU project) - (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 (7)**(2017), 431--442. (2016 SUMmER REU project) - (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 (1)**(2017), 8-11 . (2016 SUMmER REU project) - Footballs and donuts in four dimensions, Snapshots of modern mathematics from Oberwolfach, no. 12/2016, 8pp. (article)
- (with Ivan Izmestiev and Isabella Novik) Simplicial moves on balanced complexes,
*Advances in Mathematics*,**320**(2017), 82--114. (preprint) - (with Maiya Loucks*, Samantha Meek*, Levi Overcast*, AJ Stewart, and Erik R. Tou) Bertrand's postulate over the Gaussian integers, submitted. (2015 SUMmER REU project, preprint)
- (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)

- Hunter Lehmann* and Andrew Park*, Prime labeling of small trees with the Gaussian integers,
- (with Isabella Novik) Face enumeration on simplicial complexes,
*Recent trends in combinatorics*, 653--686, IMA Vol. Math. Appl. 159, Springer, 2016. (preprint). - (with Matthew Stamps) Graded Betti numbers of cycle graphs and standard Young tableaux,
*Journal of Combinatorics*,**9 (1)**, (2018), 1-7. (preprint) - (with Isabella Novik) Lower Bound Theorems and a Generalized Lower Bound Conjecture for balanced simplicial complexes,
*Mathematika*,**62**(2016), 441-477. (preprint) - (with Fintan Garrett*) Upper bounds for the number of spanning trees in a bipartite graph, submitted. (Undergraduate research project, summer 2014. preprint)
- (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.

- (with Jonathan Browder) A classification of the face numbers of Buchsbaum simplicial posets,
*Mathematische Zeitschrift*,**277**(2014), no. 3-4, 937-952. (preprint) - (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) - (with Matthew Stamps) Face numbers of Engström representations of matroids, submitted. (preprint)
- (with Allan Edmonds) The combinatorics of hyperbolized manifolds,
*Mathematica Scandinavica*,**117**(2015), no. 1, 31--63. (preprint) - (with Isabella Novik) From flag complexes to banner complexes,
*SIAM Journal on Discrete Mathematics*,**27**(2013), no. 2, 1146-1158. (preprint) - (with Nicolai Hähnle and Vincent Pilaud) Obstructions to weak decomposability for simplicial polytopes,
*Proceedings of the American Mathematical Society*,**142**(2014), 3249-3257. (preprint) - (with Arvind Ayyer and Anne Schilling) Combinatorial Markov chains on linear extensions,
*Journal of Algebraic Combinatorics*,**39**(2014), no. 4, 853-881. (preprint) - (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) - (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) - (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.

- (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) - (with Isabella Novik) Centrally symmetric manifolds with few vertices,
*Advances in Mathematics*,**229**(2012) 487-500. (preprint) - (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) - (with Jonathan Browder) Lower bounds for Buchsbaum* complexes,
*European Journal of Combinatorics*,**32**(2011), 146-153. (preprint) - Lower bounds for cubical pseudomanifolds,
*Discrete & Computational Geometry*,**46**(2011), 212-222. (preprint) - (with Michael Goff and Isabella Novik) Balanced complexes and complexes without large missing faces,
*Arkiv för Matematik*,**49**, no. 2, (2011), 335-350. (preprint) - The fundamental group of balanced simplicial complexes and posets,
*Electronic Journal of Combinatorics*,**16**(2009-10), no. 2, Research Paper 7, 12pp. (preprint) - (with Leah Yates) Tight subdesigns of the Higman-Sims design,
*Rose-Hulman Undergrad. Math. J.*,**5**(2004), no. 2, 15pp. (written as an undergraduate) - (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)

- (with Jackson Evoniuk* and Van Magnan*) Enumerating minimal length lattice paths,

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