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Alexander Rossi Miller

CV

Currently a visiting researcher in Gunter Malle's representation theory group at TU Kaiserslautern in Germany.

Vanishing results for character tables
Alexander R. Miller
Oberwolfach Reports 19 (2022), to appear

The characters of symmetric groups that depend only on length
Alexander R. Miller
Math. Z., to appear

On Foulkes characters
Alexander R. Miller
Math. Ann. 381 (2021) 1589-1614

The sparsity of character tables of high rank groups of Lie type
Michael J. Larsen and Alexander R. Miller
Represent. Theory 25 (2021) 173-192

Zeros and roots of unity in character tables
Alexander R. Miller
Enseign. Math., to appear

Many zeros of many characters of GL(n,q)
Patrick X. Gallagher, Michael J. Larsen, and Alexander R. Miller
Int. Math. Res. Not. IMRN 2022 4376-4386

Congruences in character tables of symmetric groups
Alexander R. Miller
Preprint

Dense proportions of zeros in character values
Alexander R. Miller
C. R. Math. Acad. Sci. Paris 357 (2019), no. 10, 771-772

Character restrictions and reflection groups
Eugenio Giannelli and Alexander R. Miller
J. Algebra 531 (2019) 336-348

On parity and characters of symmetric groups
Alexander R. Miller
J. Combin. Theory Ser. A 162 (2019) 231-240

Walls in Milnor fiber complexes
Alexander R. Miller
Doc. Math. 23 (2018) 1247-1261

Milnor fiber complexes and some representations
Alexander R. Miller
Oberwolfach Reports 15 (2018) 109-113

Orthogonal polynomials and Smith normal form
Alexander R. Miller and Dennis Stanton
Monatsh. Math. 187 (2018), no. 1, 125-145

Some characters that depend only on length
Alexander R. Miller
Math. Res. Lett. 24 (2017), no. 3, 879-891

Eigenspace arrangements of reflection groups
Alexander R. Miller
Trans. Amer. Math. Soc. 367 (2015), no. 12, 8543-8578

Foulkes characters for complex reflection groups
Alexander R. Miller
Proc. Amer. Math. Soc. 143 (2015), no. 8, 3281-3293

The probability that a character value is zero for the symmetric group
Alexander R. Miller
Math. Z. 277 (2014), no. 3-4, 1011-1015

Reflection arrangements and ribbon representations
Alexander R. Miller
European J. Combin. 39 (2014) 24-56

Reflection arrangements and ribbon representations
Alexander R. Miller
Thesis (Ph.D.)-University of Minnesota, 2013. 64 pp. ISBN: 978-1303-51327-5

Differential posets have strict rank growth: a conjecture of Stanley
Alexander R. Miller
Order 30 (2013), no. 2, 657-662
unpublished letter presented in talks

Note on 1-crossing partitions
M. Bergerson, A. Miller, A. Pliml, V. Reiner, P. Shearer, D. Stanton, and N. Switala
Ars Combin. 99 (2011) 83-87

Differential posets and Smith normal forms
Alexander Miller and Victor Reiner
Order 26 (2009), no. 3, 197-228