Mathematical papers and presentations


A generalization of Deodhar's defect statistic for Iwahori-Hecke algebras of type BC (presentation with Gavin Hobbs, Tommy Parisi, Jiayuan Wang). Presented at MAAGC. Washington, DC. October, 2024.

LLT polynomials and Hecke algebra traces (extended abstract with Alejandro Morales, Jiayuan Wang). Paper in progress, 2024.
LLT polynomials and Hecke algebra traces (presentation with Alejandro Morales, Jiayuan Wang). Presented at GASCOM. Bordeaux, France June, 2024.

Permanental inequalities for totally positive matrices (paper with Daniel Soskin). Submitted, 2024.

Evaluation of hyperoctahedral group characters and graph coloring. Submitted, 2024.
Combinatorial evaluation of hyperoctahedral group characters (presentation). Presented at Notre Dame. September, 2022.

Barrett-Johnson inequalities for totally nonnegative matrices (paper with Daniel Soskin). Submitted, 2022.
Barrett-Johnson inequalities for totally nonnegative matrices (presentation). Presented at FPSAC. Davis, CA. July, 2023.

Combinatorial interpretation of Kazhdan-Lusztig basis elements indexed by 45312-avoiding permutations in S6 (paper with Ashton Datko). Pure Math. Appl., no. 30 (2022) pp. 68-74.
Combinatorial interpretation of Kazhdan-Lusztig basis elements indexed by 45312-avoiding permutations in S6 (presentation). Presented at GASCOM. Varese, Italy. June, 2022.

Characters and chromatic symmetric functions. Electron. J. Combin., 28 no. 2 (2021) #P2.19.

Generating functions for monomial characters of wreath products Z/dZ ≀ Sn. Enumer. Combin. Appl., 1 no. 2 (2021) #S2R10.
Generating functions for monomial characters of the hyperoctahedral group (presentation). Presented at University of Pennsylvania. February, 2020.

Total nonnegativity and induced sign characters of the Hecke algebra (paper with Adam Clearwater). Ann. Comb., 25 no. 3 (2021) pp. 757-787.
Total nonnegativity and Hecke algebra characters (presentation). Presented at FPSAC. Ljubljana, Slovenia. July, 2019.

Bases of the quantum matrix bialgebra and induced sign characters of the Hecke algebra (paper with Justin Lambright and Ryan Kaliszewski). J. Algebraic Combin., 49 no. 4 (2019) pp. 475-505.
Evaluation of induced sign characters at a spanning set of the Hecke algebra (presentation). Presented at FPSAC. Hanover, NH. July, 2019.

Evaluations of Hecke algebra traces at Kazhdan-Lusztig basis elements (paper with Sam Clearman, Matthew Hyatt, Brittany Shelton). Electron. J. Combin., 23 no. 2 (2016) #P2.7.

Tres lecciones en combinatoria algebraica. III: Aspectos combinatorios de los arreglos de hiperplanos (paper with Federico Ardila, Emerson León, Mercedes Rosas). universo.math, 1 no. 3 (2014) Artículo 3.

Tres lecciones en combinatoria algebraica. II: Funciones simétricas y teoría de representaciones (paper with Federico Ardila, Emerson León, Mercedes Rosas). universo.math, 1 no. 2 (2014) Artículo 5.

Tres lecciones en combinatoria algebraica. I: Nonegatividad total (paper with Federico Ardila, Emerson León, Mercedes Rosas). universo.math, 1 no. 1 (2014) Artículo 5.

Generating functions for Hecke algebra characters (paper with Matjaz Konvalinka). Canad. J. Math., 63 no. 2 (2011) pp. 413-435.
A quantization of a theorem of Goulden and Jackson (presentation). Presented at FPSAC. Valparaiso, Chile. June, 2008.

Bitableaux and zero sets of dual canonical basis elements (paper with Brendon Rhoades). Ann. Comb., 15 no. 3 (2011) pp. 499-528.

Relations between the Clausen and Kazhdan-Lusztig representations of the symmetric group (paper with Charles Buehrle). J. Pure Appl. Algebra, 214 no. 5 (2010) pp. 689-700.

Kazhdan-Lusztig immanants, II (paper with Brendon Rhoades). Linear Multilinear Algebra., 58 no. 1-2 (2010), pp. 138-150.

Inequalities for symmetric functions (paper with Allison Cuttler and Curtis Greene). European J. Combin., 32 no. 6 (2009) pp. 745-761.

On the dual canonical and Kazhdan-Lusztig bases and 3412, 4231-avoiding permutations. J. Pure Appl. Algebra, 212 (2008) pp. 1086-1104.

The cluster basis of Z[x(1,1),...,x(3,3)]. Electron. J. Combin., 14 no. 1 (2007) #R76.
The cluster basis of Z[x(1,1),...,x(3,3)] (presentation). Presented at FPSAC. Valparaiso, Chile. June, 2008.

Kazhdan-Lusztig immanants and products of matrix minors (paper with Brendon Rhoades). J. Algebra, 304 no. 2 (2006), pp. 793-811.
Schur nonnegative polynomials (presentation). Presented at CMS meeting. Montreal, Canada. December, 2004.
Kazhdan-Lusztig immanants and Schur functions (presentation). Presented at FPSAC. Taormina, Italy. June, 2005.

Monomial nonnegativity and the Bruhat Order (paper with Brian Drake and Sean Gerrish). Electron. J. Combin., 11 no. 2 (2005) #R18.

Temperley-Lieb immanants (paper with Brendon Rhoades). Ann. Comb., 9 no. 4 (2005), pp. 451-495.
Totally nonnegative f-immanants related to the Temperley-Lieb algebra (presentation). Presented at FPSAC. Vancouver, Canada. June, 2004.

Multicomplexes and polynomials with real zeros (paper with Jason Bell). Discrete Math., 307 no. 6 (2007), pp. 668-682.
Multicomplexes and polynomials with real zeros (presentation). Presented at York U. October, 2002.
Multicomplexes and polynomials with real zeros (abridged presentation), Presented at FPSAC. Vadstena, Sweden. June, 2003.

Two new criteria for comparison in the Bruhat Order (paper with Brian Drake and Sean Gerrish). Electron. J. Combin., 11 no. 1 (2004), #N6.
Schur nonnegativity and the Bruhat order (presentation). Presented at R. Stanley birthday conference, MIT. June, 2004.

Total nonnegativity and (3+1)-free posets (paper with Brian Reed). J. Combin. Theory, Ser. A., 103 (2003), pp. 237-256.
Total nonnegativity and (3+1)-free posets (presentation). Presented at FPSAC. Vadstena, Sweden. June, 2003.

Inequalities in products of minors of totally nonnegative matrices (paper). J. Algebraic Combin., 20 no. 2 (2004), pp. 195-211.
Inequalities in products of minors of totally nonnegative matrices (presentation). Presented at Michigan State U. March, 2002.
Inequalities in products of minors of totally nonnegative matrices (abridged presentation). Presented at FPSAC. Melbourne, Australia. July, 2002.

Interpretaciones del h-vector (artículo). Bol. Asoc. Mat. Ven., 2 (2001), pp. 141-174.

An Eulerian partner for inversions (paper). Sém. Lothar. Combin., 46 (2001), B46d.
An Eulerian partner for inversions (presentation). Presented at CoNE. Northampton, MA. September, 1999. Presentato nel Incontro Italiano di Combinatoria Algebrica. Maratea, Italia. Ottobre, 1999.

Dumont's statistic on words (paper). Electron. J. Combin., 8 no. 1 (2001), #R11.
Dumont's statistic on words (presentation). Presented at the AMS special session on algebraic and geometric combinatorics. Providence, RI. October, 1999.
An Application of Dumont's statistic (presentation). Presented FPSAC. Moscow State University, Moscow. June, 2000.

A Characterization of (3+1)-free posets (paper). J. Combin. Theory, Ser. A., 93 (2001), pp. 231-241.
A Characterization of (3+1)-free posets (presentation). Presented at FPSAC. Universidad Politécnica de Catalunya. Barcelona, Spain. June, 1999.
Una Caracterización de posets libres de (3+1) (discurso). Presentado en la Universidad Rey Juan Carlos. Móstoles, España. Junio 1999.

Chain polynomials and permutation statistics (paper). My Ph.D. thesis. May, 2000.
Chain polynomials and permutation statistics (presentation). My thesis defense. April 13, 2000.


Nonmathematical papers and presentations


Inconsistently gendered cognates in French, Italian, Portuguese, and Spanish (paper with Ingrid Morales.) Unpublished, 2024.


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