I am the Associate Dean of the Henson School of Science and Technology and an Associate Professor in the Department of Mathematical Sciences at Salisbury University.
I am interested in quantum Schubert calculus, particularly, the study of quantum cohomology rings of non-homogeneous spaces.
Email: rmshifler [at] salisbury [dot] edu
Office: HS 201B
Bold font indicates student coauthors.
On the quantum parameter in the quantum cohomology of a family of odd symplectic partial flag varieties (with Connor Bean and Caleb Shank),
submitted.
Minimum quantum degrees with Maya diagrams,
submitted.
Positivity determines the quantum cohomology of the odd symplectic Grassmannian of lines,
Communications in Algebra 52 (11), 4955-4960, 2024.
Curve neighborhoods and combinatorial property O for a family of odd symplectic partial flag manifolds (with Connor Bean and Bradley Cruikshank),
Rocky Mountain Journal of Mathematics, to appear.
Curve neighborhoods of Schubert varieties in the odd symplectic Grassmannian (with Clelia Pech),
Transformation Groups 29, 361-408, 2024.
On the spectral properties of the quantum cohomology of odd quadrics (with Stephanie Warman),
Involve, a Journal of Mathematics 16 (1), 27-34, 2023.
Minimum quantum degrees for isotropic Grassmannians of types B and C (with Camron Withrow),
Annals of Combinatorics 26 (2), 453-480, 2022.
On Frobenius-Perron dimension (with Changzheng Li, Mingzhi Yang, and Chi Zhang),
Proceedings of the American Mathematical Society 150 (12), 5035-5045, 2022.
Galkin's lower bound conjecture holds for the Grassmannian (with La'Tier Evans, Lisa Schneider, Laura Short, and Stephanie Warman),
Communications in Algebra 48 (2), 857-865, 2020.
Conjecture O holds for some horospherical varieties of Picard rank 1 (with Lela Bones, Garrett Fowler, and Lisa Schneider),
Involve, a Journal of Mathematics 13 (4), 551-558, 2020.
Conjecture O holds for the odd symplectic Grassmannian (with Changzheng Li and Leonardo C. Mihalcea),
Bulletin of the London Mathematical Society 51 (4), 705-714, 2019.
Equivariant quantum cohomology of the odd symplectic Grassmannian (with Leonardo C. Mihalcea),
Mathematische Zeitschrift 291 (3-4), 1569-1603, 2019.
Faculty writing groups for mathematicians (with Joseph Anderson, Jathan Austin, Yaping Jing, Lisa Schneider, and Sarah Wesolowski),
MAA Focus (October/November 2018).