My papers: (with abstracts) (arXiv) (MathSciNet) (Google Scholar)
In preparation:
Sharing the Beauty of Mathematics through Making.
Chapter in Design-Make-Play: Faculty-Librarian Collaborations for STEAM Learning
Chapter in Design-Make-Play: Faculty-Librarian Collaborations for STEAM Learning
The Aesthetics of Generative Art, with Christopher Soto and Peter Antonaros.
Submitted:
(pdf)
A Triangulation of the Flow Polytope of the Zigzag Graph, with Rachel Brunner
Published:
33. (pdf)
Applying the Iterative Development Process: The Creation of Fractal Emergence, with Eric Vergo.
Published in Proceedings of Bridges 2024: Mathematics, Art, Music, Architecture, Culture pp 311–318. (2024) Bridges Link arχiv:2405.04544
Published in Proceedings of Bridges 2024: Mathematics, Art, Music, Architecture, Culture pp 311–318. (2024) Bridges Link arχiv:2405.04544
32. (pdf)
Encouraging student creativity in mathematics through 3D design and 3D printing.
Published in 3D Printing in Mathematics, Proceedings of Symposia in Applied Mathematics. Volume 79, 169–198 (2023) PSAMP Link arχiv:2212.07926
Published in 3D Printing in Mathematics, Proceedings of Symposia in Applied Mathematics. Volume 79, 169–198 (2023) PSAMP Link arχiv:2212.07926
31. (pdf)
Column convex matrices, G-cyclic orders, and flow polytopes,
with
Rafael S. González D'León,
Alejandro Morales, and
Martha Yip.
Published in Discrete and Computational Geometry, Volume 70, pp. 1593–1631. (2023) arχiv:2107.07326
Published in Discrete and Computational Geometry, Volume 70, pp. 1593–1631. (2023) arχiv:2107.07326
30. (pdf)
Turning Mathematics into Jewelry.
Published in Math Horizons. September 2022. [doi:10.1080/10724117.2022.2087378]
Published in Math Horizons. September 2022. [doi:10.1080/10724117.2022.2087378]
29. (pdf)
Humanity and Practicality During the Emergency Conversion to Online Learning.
Published in Journal of Mathematics Education at Teachers College. Volume 12, 51 (2021) JMETC Link
Published in Journal of Mathematics Education at Teachers College. Volume 12, 51 (2021) JMETC Link
28. (pdf)
A billiards-like dynamical system for attacking chess pieces,
with Arvind Mahankali.
Published in European Journal of Combinatorics. Volume 95, 103341 (2021) arχiv:1901.01917 [doi:10.1016/j.ejc.2021.103341]
Published in European Journal of Combinatorics. Volume 95, 103341 (2021) arχiv:1901.01917 [doi:10.1016/j.ejc.2021.103341]
27. (pdf)
Kostant's partition function and magic multiplex juggling sequences, with Carolina Benedetti, Pamela Harris, Alejandro Morales, and Anthony Simpson.
Published in Annals of Combinatorics. Volume 24, 439–473. (2020) arχiv:2001.03219 [doi:10.1007/s00026-020-00498-0]
Published in Annals of Combinatorics. Volume 24, 439–473. (2020) arχiv:2001.03219 [doi:10.1007/s00026-020-00498-0]
26. (pdf)
A q-queens problem. V. A few of our favorite pieces: Queens, bishops, rooks, and nightriders,
with Seth Chaiken
and Thomas Zaslavsky.
Published in Journal of the Korean Mathematical Society. Volume 57 (6), pp. 1407–1433. (2020) arχiv:1609.00853. [doi:10.4134/JKMS.j190682]
Published in Journal of the Korean Mathematical Society. Volume 57 (6), pp. 1407–1433. (2020) arχiv:1609.00853. [doi:10.4134/JKMS.j190682]
25. (pdf)
A q-queens problem. VII. Combinatorial types of nonattacking chess riders,
with Thomas Zaslavsky.
Published in Australasian Journal of Combinatorics. Volume 77(3), pp 326–335. (2020) [AJC link] arχiv:1906.08981
Published in Australasian Journal of Combinatorics. Volume 77(3), pp 326–335. (2020) [AJC link] arχiv:1906.08981
24. (pdf)
A q-queens problem. IV. Attacking configurations and their denominators,
with Seth Chaiken
and Thomas Zaslavsky.
Published in Discrete Mathematics. Volume 343(2), 111649. (2020) arχiv:1807.04741 [doi:10.1016/j.disc.2019.111649]
Published in Discrete Mathematics. Volume 343(2), 111649. (2020) arχiv:1807.04741 [doi:10.1016/j.disc.2019.111649]
23. (pdf)
A combinatorial model for computing volumes of flow polytopes,
with Carolina Benedetti, Rafael S. González D'León, Pamela Harris, Apoorva Khare, Alejandro Morales, and Martha Yip.
Published in Transactions of the AMS. Volume 372, pp. 3369–3404, 2019. arχiv:1801.07684 [doi:10.1090/tran/7743]
Published in Transactions of the AMS. Volume 372, pp. 3369–3404, 2019. arχiv:1801.07684 [doi:10.1090/tran/7743]
22. (pdf)
A q-queens problem. III. Nonattacking partial queens,
with Seth Chaiken
and Thomas Zaslavsky.
Published in Australasian Journal of Combinatorics. Volume 74(2), pp 305–331. (2019) [AJC link] arχiv:1402.4886
Published in Australasian Journal of Combinatorics. Volume 74(2), pp 305–331. (2019) [AJC link] arχiv:1402.4886
21. (pdf)
A q-queens problem. VI. The bishops' period,
with Seth Chaiken and Thomas Zaslavsky.
Published in Ars Mathematica Contemporanea. Volume 16(2), pp 549–561. (2019) arχiv:1405.3001 [doi:10.26493/1855-3974.1657.d75 (open access)]
Published in Ars Mathematica Contemporanea. Volume 16(2), pp 549–561. (2019) arχiv:1405.3001 [doi:10.26493/1855-3974.1657.d75 (open access)]
20. (pdf)
Lecture hall partitions and the affine hyperoctahedral group,
with Carla Savage.
Published in Electronic Journal of Combinatorics. Volume 25(1), Research Paper P1.32 (2018) arχiv:1708.01136 [EJC link (open access)]
Published in Electronic Journal of Combinatorics. Volume 25(1), Research Paper P1.32 (2018) arχiv:1708.01136 [EJC link (open access)]
19. (pdf)
Combinatorics of the zeta map on rational Dyck paths,
with Cesar Ceballos
and Tom Denton.
Published in Journal of Combinatorial Theory, Series A. Volume 141, pp 33–77. (2016) arχiv:1504.06383 [doi:10.1016/j.jcta.2016.02.002]
Published in Journal of Combinatorial Theory, Series A. Volume 141, pp 33–77. (2016) arχiv:1504.06383 [doi:10.1016/j.jcta.2016.02.002]
18. (pdf)
A q-queens problem. II. The square board,
with Seth Chaiken
and Thomas Zaslavsky.
Published in Journal of Algebraic Combinatorics. Volume 41, pp 619–642. (2015) arχiv:1402.4880 [doi:10.1007/s10801-014-0547-0]
Published in Journal of Algebraic Combinatorics. Volume 41, pp 619–642. (2015) arχiv:1402.4880 [doi:10.1007/s10801-014-0547-0]
17. (pdf)
A q-queens problem. I. General theory,
with Seth Chaiken
and Thomas Zaslavsky.
Published in Electronic Journal of Combinatorics. Volume 21(3), Research Paper 33, 28 pp. (2014) arχiv:1303.1879 [EJC link (open access)]
Published in Electronic Journal of Combinatorics. Volume 21(3), Research Paper 33, 28 pp. (2014) arχiv:1303.1879 [EJC link (open access)]
16. (pdf)
Results and conjectures on simultaneous core partitions,
with Drew Armstrong and Brant C. Jones.
Published in European Journal of Combinatorics. Volume 41, pp 205–220. (2014) arχiv:1308.0572. [doi:10.1016/j.ejc.2014.04.007]
Published in European Journal of Combinatorics. Volume 41, pp 205–220. (2014) arχiv:1308.0572. [doi:10.1016/j.ejc.2014.04.007]
15. (pdf)
Solving multivariate functional equations,
with Michael Chon* and Amy Lee*.
Published in Discrete Mathematics. Volume 319, pp 40–46. (2014) arχiv:1206.6750 [doi:10.1016/j.disc.2013.11.023] (*QC undergraduates)
Published in Discrete Mathematics. Volume 319, pp 40–46. (2014) arχiv:1206.6750 [doi:10.1016/j.disc.2013.11.023] (*QC undergraduates)
14. (pdf)
Bonding in Sodium Chloride Nanotubes: A New Analysis via Madelung Constants and Cohesive Energies,
with
Mark D. Baker, A. David Baker, Karen Paltoo, Elisha Danzig, and Jane Belanger.
Published in The Journal of Physical Chemistry C. Volume 117, pp 25742–25747. (2013) [doi:10.1021/jp405978d]
Published in The Journal of Physical Chemistry C. Volume 117, pp 25742–25747. (2013) [doi:10.1021/jp405978d]
13. (pdf)
The number of self-conjugate core partitions,
with Rishi Nath.
Published in Journal of Number Theory. Volume 133, pp 751–768. (2013) arχiv:1201.6629 [doi:10.1016/j.jnt.2012.08.017]
Published in Journal of Number Theory. Volume 133, pp 751–768. (2013) arχiv:1201.6629 [doi:10.1016/j.jnt.2012.08.017]
12. (pdf)
Linear relationship between weighted-average Madelung constants and density functional theory energies for MgO nanotubes,
with
Mark D. Baker, A. David Baker, Jane Belanger, and Alana Michaels.
Published in The Journal of Physical Chemistry C. Volume 116, pp 25588–25593. (2012) [doi:10.1021/jp308041d]
Published in The Journal of Physical Chemistry C. Volume 116, pp 25588–25593. (2012) [doi:10.1021/jp308041d]
11. (pdf)
Abacus models for parabolic quotients of affine Weyl groups,
with Brant C. Jones. (Also available as a Poster.)
Published in Journal of Algebra. Volume 361, pp 134–162. (2012) arχiv:1105.5333 [doi:10.1016/j.jalgebra.2012.03.029]
Published in Journal of Algebra. Volume 361, pp 134–162. (2012) arχiv:1105.5333 [doi:10.1016/j.jalgebra.2012.03.029]
10. (pdf)
Corner ion, edge-center ion, and face-center ion Madelung expressions for Sodium Chloride, with A. David Baker and Mark D. Baker.
Published in Journal of Mathematical Chemistry. Volume 49, pp 1192–1198. (2011) [doi:10.1007/s10910-011-9807-6]
Published in Journal of Mathematical Chemistry. Volume 49, pp 1192–1198. (2011) [doi:10.1007/s10910-011-9807-6]
9. (pdf)
Determinants in the Kronecker product of matrices: The incidence matrix of a complete graph,
with Thomas Zaslavsky.
Published in Linear and Multilinear Algebra. Volume 59, pp 399–411. (2011) [doi:10.1080/03081081003586852]
Published in Linear and Multilinear Algebra. Volume 59, pp 399–411. (2011) [doi:10.1080/03081081003586852]
8. (pdf)
Nonattacking queens in a rectangular strip,
with Seth Chaiken
and Thomas Zaslavsky.
Published in Annals of Combinatorics. Volume 14, pp 419–441. (2010) [doi:10.1007/s00026-011-0068-7]
Published in Annals of Combinatorics. Volume 14, pp 419–441. (2010) [doi:10.1007/s00026-011-0068-7]
7. (pdf)
The enumeration of fully commutative affine permutations,
with Brant C. Jones. (Also available as a Poster.)
Published in European Journal of Combinatorics. Volume 31, pp 1342–1359. (2010) [doi:10.1016/j.ejc.2009.11.010]
Published in European Journal of Combinatorics. Volume 31, pp 1342–1359. (2010) [doi:10.1016/j.ejc.2009.11.010]
6. (pdf) Ensuring every candidate wins under positional voting.
Published in Social Choice and Welfare. Volume 33, pp 311–333. (2009) [doi:10.1007/s00355-008-0359-z]
Published in Social Choice and Welfare. Volume 33, pp 311–333. (2009) [doi:10.1007/s00355-008-0359-z]
5. (pdf) Applying a combinatorial determinant to count weighted cycle systems in a directed graph.
Published in Discrete Mathematics. Volume 309, pp 1746–1748. (2009) [doi:10.1016/j.disc.2008.02.020]
Published in Discrete Mathematics. Volume 309, pp 1746–1748. (2009) [doi:10.1016/j.disc.2008.02.020]
4. (pdf) Pseudo-centrosymmetric matrices, with applications to counting perfect
matchings.
Published in Linear Algebra and its Applications. Volume 427, pp 206–213. (2007) [doi:10.1016/j.laa.2007.07.015]
Published in Linear Algebra and its Applications. Volume 427, pp 206–213. (2007) [doi:10.1016/j.laa.2007.07.015]
3. (pdf) A Gessel-Viennot-type method for cycle systems in a directed graph.
Published in Electronic Journal of Combinatorics, Volume 13, Research Paper 37, 28 pp. (2006) [journal version]
Published in Electronic Journal of Combinatorics, Volume 13, Research Paper 37, 28 pp. (2006) [journal version]
2. (pdf) Linear Recurrences Through Tilings and Markov Chains,
with Arthur Benjamin and Francis Su.
Published in Utilitas Mathematica, Volume 64, pp 3–17. (2003)
Published in Utilitas Mathematica, Volume 64, pp 3–17. (2003)
1. (pdf) Jammin' with Floyd: A traffic flow analysis of South Carolina hurricane evacuation,
with Ari Nieh and Matthew Schnaider.
Published in The UMAP Journal, Volume 22, pp 301–310. (2001) as an outstanding MCM paper. [journal version]
Published in The UMAP Journal, Volume 22, pp 301–310. (2001) as an outstanding MCM paper. [journal version]
Additional Works:
–1. (pdf) My Dissertation, A Gessel-Viennot-Type Method for Cycle Systems with Applications to Aztec Pillows.
–2. (pdf) My General Exam Paper, An Exploration of Aztec Pillows.
–3. (pdf) My Undergraduate Thesis, A Generalized Binet's Formula for kth Order Linear Recurrences: A Markov Chain Approach.
–4. (html) Landscape Clinic Research on Harvey Mudd College's Resource Use, with Greg Alexander, Ryan Kirkby, Marcy LaViollette, Megan Ritchie, Jill Sohm, Tracy van Cort, and Erika Wolff.
–5. (Word) An article written for the
MCM Competition on Aliens in 2000.
–6. (pdf)
On successive sampling and fixed inclusion probabilities. Preprint, 2010.
Christopher Hanusa
