Mathematical papers and presentations


Permanental inequalities for certain totally nonnegative matrices (presentation).
  Presented at GASCom. Malosco, Italy. June, 2026.

On Kazhdan–Lusztig basis elements having no reversal factorization (paper).
  With Tommy Parisi, Ben Spahiu, and Jiayuan Wang. Submitted, 2026.
On the impossibility of parabolic factorization of certain Kazhdan–Lusztig basis elements (presentation).
  Presented at the University of Illinois. Urbana-Champaign. October, 2025.
On Kazhdan–Lusztig basis elements having no reversal factorization (abridged presentation).
  Presented at GASCom. Malosco, Italy. June, 2026.

Hook immanantal inequalities for totally nonnegative matrices (paper).
  Submitted, 2025.
Hook immanantal inequalities for totally nonnegative matrices (presentation).
  Presented at AMS sectional meeting in Savannah, GA. March, 2026.

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

LLT polynomials and Hecke algebra traces (extended abstract).
  With Alejandro Morales, Jiayuan Wang. Paper in progress, 2025.
LLT polynomials and Hecke algebra traces (poster).
  Presented as a talk at GASCom. Bordeaux, France. June, 2024.
LLT polynomials and Hecke algebra traces (abridged presentation) and script.
  Presented at Richard Stanley Birthday Conference. Harvard University. June, 2024.

Permanental inequalities for totally positive matrices (paper).
  With Daniel Soskin. Electron. J. Combin., 32 no. 1 (2025), Article 1.14.
Permanental inequalities for totally positive matrices (presentation).
  Presented at FPSAC. Sapporo, Japan. July, 2025.

Evaluation of hyperoctahedral group characters and graph coloring (paper).
  Algebr. Combin., 8 no. 16 (2025), pp. 1651–1711.
Combinatorial evaluation of hyperoctahedral group characters (presentation).
  Presented at Notre Dame. September, 2022.

Barrett–Johnson inequalities for totally nonnegative matrices (paper).
  With Daniel Soskin. Linear Multilinear Algebra, 73 no. 10 (2025), pp. 2320 – 2343.
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 (extended abstract).
  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 (paper).
  Electron. J. Combin., 28 no. 2 (2021) #P2.19.

Generating functions for monomial characters of wreath products Z/dZ ≀ Sn (paper).
  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, 2018.

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.
Path tableaux and combinatorial interpretations for Sn (presentation).
  Presented at FPSAC. Reykjavik, Iceland. July, 2011.

Tres lecciones en combinatoria algebraica. III: Aspectos combinatorios de los arreglos de hiperplanos (artículo).
  Con 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 (artículo).
  Con Federico Ardila, Emerson León, Mercedes Rosas. universo.math, 1 no. 2 (2014) Artículo 5.

Tres lecciones en combinatoria algebraica. I: Nonegatividad total (artículo).
  Con 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.
On the Desarmenien–Kung–Rota basis for C[x1,1,...,xn,n] (presentation).
  Presented at FPSAC. Taormina, Italy. June, 2005.

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.
Inequalities for symmetric functions (presentation).
  Presented at FPSAC. Tianjin, China. June, 2007

On the dual canonical and Kazhdan–Lusztig bases and 3412, 4231-avoiding permutations. (paper).
  J. Pure Appl. Algebra, 212 (2008) pp. 1086 – 1104.
On a nonnegativity property of the dual canonical basis (presentation).
  Presented at FPSAC. San Diego, CA. June, 2006.

The cluster basis of Z[x1,1,...,x3,3] (paper).
  Electron. J. Combin., 14 no. 1 (2007) #R76.
The cluster basis of Z[x1,1,...,x3,3]. (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.
Monomial nonnegativity and the Bruhat Order (presentation).
  Presented at FPSAC. Taormina, Italy. June, 2005.

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.
  Anche 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 at 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 and semimathematical documents


Inconsistently gendered cognates in French, Italian, Portuguese, and Spanish (paper).
  With Ingrid Morales. Unpublished, 2026.

Procédure technique no 105-705-1022/02-1995 pour le calcul de 1+1 (edited paper).
  By Gilles Mercey. Unpublished, 1995.


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