Research
Topological Data Analysis
Diagram Algebras
Combinatorics
Mathematics
Representation Theory
Signal Processing
List of Publications (36)
In 2023
36
A. Adem, T. Halverson, A. Ram, E. Zelmanov, Remembering Georgia Benkart. Notices Amer. Math. Soc. 70 (2023), no. 3, 420-433.
Found on Publication Page
In 2022
35
T. Halverson A. Ram, Gems from the work of Georgia Benkart. Notices Amer. Math. Soc. 69 (2022), no. 3, 375-384.
Found on Publication Page
In 2021
34
E. Chen*, J. DeJong*, T. Halverson, D. Shuman, Signal Processing on the Permutahedron: Tight Spectral Frames for Ranked Data Analysis, Journal of Fourier Analysis and Applications , 27 (2021), 70 pp. [ ] [
Found on Publication Page
33
S. Armon* and T. Halverson, Transition matrices between Young's natural and seminormal representations, Electronic Journal of Combinatorics , 28 (3) (2021). [ ] [
Found on Publication Page
In 2020
32
T. Halverson and T.N. Jacobson*, Set-partition tableaux and representations of diagram algebras, Algebraic Combinatorics , 3 (2020) p. 509-538. [ ] [
Found on Publication Page
In 2019
31
G. Benkart and T. Halverson, Partition Algebras and the Invariant Theory of the Symmetric Group. Recent Trends in Algebraic Combinatorics , Springer International Publishers, Association for Women in Mathematics, 16 (2019). [ ] [
Found on Publication Page
30
G. Benkart and T. Halverson, Partition algebras P_k(n) with 2k>n and the fundamental theorems of invariant theory for the symmetric group Sn, Journal of the London Mathematical Society (2) 99 (2019), 194-224. [ ] [
Found on Publication Page
29
T. Halverson, Set Partition Tableaux, Symmetric Group Multiplicities, and Partition algebra Modules , Proceedings of the 31st Conference on Formal Power Series and Algebraic Combianatorics (FPSAC 2019), Ljubljana, Slovenia.
(PDF)
Found on Publication Page
In 2017
28
G. Benkart, T. Halverson, and N. Harman, Dimensions of irreducible modules for partition algebras and tensor power multiplicities for symmetric and alternating groups, Journal of Algebraic Combinatorics, 46 (2017), 77-108. [ ] [
Found on Publication Page
In 2016
27
J. Barnes*, G. Benkart, and T. Halverson, McKay Centralizer Algebras, Proceedings of the London Mathematical Society , (3) 112 (2016), no. 2, 375-414. [ ] [
Found on Publication Page
26
G. Benkart and T. Halverson, McKay Centralizer Algebras , Proceedings of the 28th Conference on Formal Power Series and Algebraic Combianatorics (FPSAC 2016), Vancouver, Canada.
Found on Publication Page
In 2015
25
T. Halverson and M. Reeks*, Gelfand Models for Diagram Algebras, Journal of Algebraic Combinatorics , 41 (2015), 229-255. [ ] [
(PDF)
Found on Publication Page
24
T. Halverson, Gelfand Models for Diagram Algebras , Proceedings of the 27th Conference on Formal Power Series and Algebraic Combianatorics (FPSAC 2015), Paris, France.
Found on Publication Page
In 2014
23
G. Benkart and T. Halverson, Motzkin Algebras, European Journal of Combinatorics , 36 (2014), 473-502. [ ] [
Found on Publication Page
In 2013
22
E. delMas* and T. Halverson, Representations of the Rook-Brauer Algebra, Communications in Algebra , 42 (2013), 423-443. [ ] [
Found on Publication Page
In 2010
21
T. Halverson and N. Thiem, q partition algebra combinatorics, J. Combinatorial Theory Series A , 117 (2010), 507-527. [ ] [
Found on Publication Page
In 2009
20
T. Halverson, M. Mazzocco, and A. Ram, Commuting families in Hecke and Temperley-Lieb algebras, Nagoya Math J , 195 (2009), 125-152. [ ] [
Found on Publication Page
19
D. Flath, T. Halverson, and K. Herbig*, The planar rook algebra and Pascal's triangle, L'Enseignement Mathematique (2), 55 (2009), 77-92. [ ] [
Found on Publication Page
In 2005
18
T. Halverson and A. Ram, Partition algebras, European J. Combinatorics , 26 (2005), 869-921. [ ] [
Found on Publication Page
In 2004
17
T. Halverson and T. Lewandowski*, RSK insertion for set partitions and diagram algebras, Electronic J. Combinatorics , 11, (2004/6) Research Paper 24, 24 pp (electronic). [ ] [
Found on Publication Page
15
T. Halverson and A. Ram, q-rook monoid algebras, Hecke algebras, and Schur-Weyl duality, Zapiski Nauchanyh Seminarov POMI , 283 (2001), 224-250 and Journal of Mathematical Sciences , 121 No. 3 (2004), 2419-2439. [ ] [
Found on Publication Page
In 2003
14
J. Farina* and T. Halverson, Character orthogonality for the partition algebra and fixed points of permutations, Advances in Applied Math , 31 (2003), 113-131. [ ]
Found on Publication Page
13
M. Dieng*, T. Halverson, and V. Poladian*, Character formulas for q-rook monoid algebras, Journal of Algebraic Combinatorics , 17 (2003), 99-123. [ ]
(PDF)
Found on Publication Page
In 2002
12
A. Cantrell*, T. Halverson, and B. Miller*, Robinson-Schensted-Knuth insertion and characters of cyclotomic Hecke algebras, Journal of Combinatorial Theory Series A , 99 (2002), 17-31. [ ]
Found on Publication Page
In 2001
11
T. Halverson, Characters of the partition algebras, Journal of Algebra , 238, (2001), 502-533. [ ]
Found on Publication Page
In 1999
10
T. Halverson and A. Ram, Bitraces for GL_n(F_q) and the Iwahori-Hecke algebra of type A_{n-1}, Indagationes Mathhematicae (N.S.) 10 (1999) 247-268. [ ]
Found on Publication Page
In 1998
9
T. Halverson and A. Ram, Murnaghan-Nakayama rules for characters of Iwahori-Hecke algebras of complex reflection groups G(r,p,n), Canadian Journal of Mathematics , 50 (1998), 167-192. [ ] [
Found on Publication Page
In 1997
8
T. Halverson, R. Leduc, and A. Ram, Iwahori-Hecke algebras of type A, bitraces and symmetric functions, International Mathematics Research Notices, (1997), 401-416. [ [Paper]
Found on Publication Page
In 1996
7
T. Halverson, Characters of the centralizer algebra of mixed tensor representations of GL(r,C) and the quantum group Uq(gl(r,C)), Pacific Journal of Mathematics , 174 (1996), 359-410. [ ]
(PDF)
Found on Publication Page
6
T. Halverson and A. Ram, Murnaghan-Nakayama rules for characters of Iwahori-Hecke algebras of classical type, Transactions of the American Mathematical Society , (1996), 3967-3995. [ ]
(PDF)
Found on Publication Page
In 1995
5
T. Halverson and A. Ram, Characters of algebras containing a Jones basic construction: the Temperley-Lieb, Okada, Brauer, and Birman-Wenzl algebras, Advances in Mathematics , 116 (1995), 263-321. [ ]
Found on Publication Page
4
T. Halverson, A q-rational Murnaghan-Nakayama rule, Journal of Combinatorial Theory Series A , (1995), 1-18. [ ]
Found on Publication Page
In 1994
3
G. Benkart, M. Chakrabarti, T. Halverson, R. Leduc, C. Lee, and J. Stroomer, Tensor product representations of general linear groups and their connections with Brauer algebras, Journal of Algebra 166 (1994), 529-567. [ ]
Found on Publication Page
Unspecified
2
T. Halverson and A. Ram , Monk Rules for Type GLn Macdonald Polynomials [ ]. This article will appear in a special Journal of Algebra dedicated to the memory of Georgia Benkart.
Found on Publication Page
1
C. Topaz, L. Ziegelmeier, and T. Halverson, Topological Data Analysis of Biological Aggregation Models, 10(5): e0126383. [ ] [
Found on Publication Page
