Mahir Bilen Can
Email: mahirbilencan at gmail dot com
An AMS special session: Geometries defined by differential forms
April 21--22, 2018 (Northeastern University)
A Conference on Commutative Algebra and Representation Theory
November 8--11, 2018 (Tulane University)
Math 771 (Lie Groups)
Math 320 (Combinatorics)
Papers (most of them are available at https://arxiv.org)
Loop-augmented and a variant of the Foulkes' conjecture (with Jeff Remmel).
On the cohomology rings of Grassmann varieties and Hilbert schemes (with Jeff Remmel).
The genesis of involutions (polarizations and lattice paths) (with Özlem Uğurlu).
Spherical product of a partial flag variety with a symmetric space
The cross section of a spherical double cone.
Combinatorial models for the variety of complete quadrics (with Soumya D. Banerjee and Michael Joyce).
Here is the previous version: pdf.
(I am keeping the older version here because it contains some algorithms that might be useful for some purpose.)
Special embeddings of symmetric spaces and their Borel orbits (with Roger Howe and Lex Renner).
Monodromy of torus fibrations and decomposability problem (with Mustafa Topkara).
Topology and Its Applications 222 (2017), 165--176.
Equivariant K-theory of smooth projective spherical varieties (with Soumya D. Banerjee).
Complex G2 and associative grassmannian (with Selman Akbulut).
Toroidal affine Nash groups.
Journal of Lie Theory 26 (2016), no. 4, 1069--1077.
Wonderful symmetric varieties and Schubert polynomials (joint with Michael Joyce and Ben Wyser).
To appear in Ars Mathematica Contemporanea.
An analogue of Springer fibers in certain wonderful compactifications (joint with Roger Howe and Michael Joyce).
Journal of Algebra and Its Applications 16 (2017), no. 9.
A representation on labeled rooted forests.
Chains in weak order posets associated with involutions (with Michael Joyce and Ben Wyser).
Journal of Combinatorial Theory Series A 137 (2016), 207--225.
Corrigendum to ''Generators of the Hecke algebra of (S_2n,B_n)'' (with Şafak Özden).
Adv. Math. 308 (2017), 1337--1339.
Divisors and specializations of Lucas polynomials (with Tewodros Amdeberhan and Melanie Jensen).
Journal of Combinatorics 6 (2015) no 1-2, 69--89
Bruhat order on partial fixed point free involutions. (with Yonah Cherniavsky and Tim Twelbeck)
Electronic Journal of Combinatorics 21 (2014), no. 4, Paper 4.34, 23 pp.
Branching through G2 (with Roger Howe)
Proceedings of the Gökova Geometry-Topology Conference 2013, 41--75, Gökova Geometry/Topology Conference (GGT), Gökova, 2014.
Calculating Heegaard-Floer homology by counting lattice points in tetrahedra (with Çağrı Karakurt)
Acta Mathematica Hungarica 144 (2014), no. 1, 43--75.
Lexicographic shellability of the Bruhat-Chevalley order on fixed point free involutions (with Yonah Cherniavsky and Tim Twelbeck)
Israel Journal of Mathematics 207 (2015) no. 1.281--299.
Omitting Parentheses from the Cyclic Notation (with Yonah Cherniavsky)
Mediterranean Journal of Mathematics 12 (2015), no. 4, 1199--1214.
Lexicographic shellability of partial involutions (with Tim Twelbeck)
Discrete Math. 335 (2014), 66--80.
The Rook Monoid is Lexicographically Shellable.
SL_2-regular subvarieties of complete quadrics (with Michael Joyce)
Algebraic monoids, group embeddings, and algebraic combinatorics, 271--284, Fields Inst. Commun., 71, Springer, New York, 2014.
Some plethystic identities and Kostka-Foulkes polynomials.
Ars Combinatoria 122 (2015), 411--421.
Unipotent invariant matrices (with Roger Howe and Michael Joyce).
Linear Algebra and its Applications, 439 (2013), no.1, 196--210.
Weak order on complete quadrics (with Michael Joyce)
Transactions of the American Mathematical Society 365 (2013), no. 12, 6269--6282.
Ordered Bell Numbers, Hermite Polynomials, Skew Young Tableaux, and Borel Orbits (with Michael Joyce).
Journal of Combinatorial Theory, Series A 119 (2012) 1798--1810.
Bruhat-Chevalley Order on the Rook Monoid (with Lex Renner).
Turkish Journal of Math. no. 36 (2012), 499--519.
Irreducible representations of semisimple algebraic groups and supersolvable lattices.
Journal of Algebra. 351 (2012), no. 1, 235--250.
From Parking functions to Gelfand pairs (with K. Aker).
Proceedings of AMS. 140 (2012), 1113--1124.
Generators of the Hecke algebra of (S_2n,B_n) (with K. Aker).
Advances in Math. 231 (2012), no. 5, 2465--2483.
Broken Bracelets, Molien Series, Paraffin Wax and Elliptic Curve of Conductor 48 (with T. Amdeberhan and V.Moll).
SIAM J. on Discrete Math. 25(4) (2011), pp. 1843--1859.
Partitions, rooks, and symmetric functions in noncommuting variables (with Bruce Sagan).
Electronic J. Combinatorics 18 (2011), no. 2, Paper 3.
R-polynomials of finite monoids of Lie type (with K. Aker and M. Taskin).
Internat. J. of Algebra and Computation, 20 (2010) no. 6, 793--805.
H-polynomials and Rook Polynomials (with Lex Renner).
Internat. J. of Algebra and Computation 18 (2008), no. 5, 935--949.
Nested Hilbert schemes and the nested q,t-Catalan series.
Discrete Mathematics and Theoretical Computer Science Proceedings (2008) 61--70.
A proof of the q,t-square conjecture (with N. Loehr).
Journal of Combinatorial Theory, Series A, 113 (2006), no. 7, 1419--1434.
- Tim Twelbeck (graduated in 2013)
- Özlem Uğurlu (expected to graduate in 2018)
- Şafak Özden (expected to graduate in 2018)
- Tien Li (expected to graduate in 2019)
- Aram Bingham (expected to graduate in 2019)