Selected Faculty Research 
Tamar Friedmann 
Research Areas: Combinatorics, Representation Theory, Lie Theory, Mathematical/Theoretical Physics
Selected Publications:
 T. Friedmann, P Hanlon, R. Stanley, M. Wachs, “On a generalization of Lie(k): a CataLAnKe theorem,” Advances in Mathematics 380 (2021) 1075700
 T. Friedmann, P. Hanlon, R. Stanley and M. Wachs, “Action of the symmetric group on the free LAnKe: a CataLAnKe theorem,” Séminaire Lotharingien de Combinatoire 80B(2018), Article #63(FPSAC2018).
 T. Friedmann, “On the derivation of the Wallis Formula for π in the 17th and 21st centuries,” in V. Dobrev (ed.), Quantum Theory and Symmetries with Lie Theory and Its Applications in Physics Volume 1, Springer Proceedings in Mathematics and Statistics 263 (2018).
 T. Friedmann and J. Harper, “On Hspaces and a Congruence of Catalan numbers,” Homology, Homotopy, and Applications 19 (2017) 1.

Fernando Gouvêa 
Research Areas: Number Theory, Algebraic Geometry, History of Mathematics, Expository Writing in Mathematics
Selected Publications:
 Math through the Ages, expanded second edition, with William P. Berlinghoff. Oxton House and Mathematical Association of America, 2015.
 “Was Cantor Surprised?” The American Mathematical Monthly, 118 (March, 2011), 198–209. Reprinted in Best Writing in Mathematics 2012, ed. Mircea Pitici, Princeton University Press, 2012.
 “Quadratic Twists of Rigid CalabiYau Threefolds over ℚ,” in Arithmetic and Geometry of K3 Surfaces and CalabiYau Threefolds, ed. Radu Laza, Matthias Schütt and Noriko Yui, Fields Institute Communications, 67, Springer, 2013, 517–533.

Jan Holly 
Research Areas: Mathematical Neuroscience, Logic, Algebra
Selected Publications:
 Jan E. Holly, M. Arjumand Masood, Chiran S. Bhandari. “Asymmetries and ThreeDimensional Features of Vestibular CrossCoupled Stimuli Illuminated through Modeling” Journal of Vestibular Research 16 (2016) 343358.
 Jan E. Holly, Scott J. Wood, Gin McCollum. “PhaseLinking and the Perceived Motion during OffVertical Axis Rotation” Biological Cybernetics 102 (2010) 929.
 Jan E. Holly. “Pictures of Ultrametric Spaces, the padic Numbers, and Valued Fields” The American Mathematical Monthly 108 (2001) 721728.

Leo Livshits 
Research Areas: Matrix Analysis, Linear Algebra, Operator Theory
Selected Publications:
 Livshits, L. ; MacDonald, G. W. ; Marcoux, L. W. ; Radjavi, H. “A spatial version of Wedderburn’s principal theorem.” Linear Multilinear Algebra 63 (2015), no. 6, 1216–1241.
 Livshits, L. ; MacDonald, G. ; Marcoux, L. W. ; Radjavi, H. “Paratransitive algebras of linear operators II.” Linear Algebra Appl. 439 (2013), no. 7, 1974–1989.
 Livshits, L. ; MacDonald, G. ; Marcoux, L. W. ; Radjavi, H. “Paratransitive algebras of linear operators.” Linear Algebra Appl. 439 (2013), no. 7, 1955–1973.

Ben Mathes 
Research Areas: Functional Analysis, Operator Theory, Linear Algebra
Selected Publications:
 Hawkins, K.; HebertJohnson, U.; Mathes, B. “The Fibonacci identities of orthogonality” to appear in Linear Algebra and Its Applications.
 Mathes, B. ; Xu, Y. “Rings of Uniformly Continuous Functions” Int. J. Contemp. Math. Sciences (2014), pp. 309 – 312
 Dixon, J.; Goldenberg, M. ; Mathes, B. ; Sukiennik, J. Linear Algebra and Its Applications (2014), pp. 177187

Evan Randles 
Research Areas: Analysis, Probability, PDEs, Mathematical Physics
Selected Publications:
 On the Convolution Powers of Complex Functions on Z (with Laurent SaloffCoste), Journal of Fourier Analysis and Applications (2015)
 Convolution Powers of Complex Functions on Zd (with Laurent SaloffCoste), Revista Matemática Iberoamericana, (2017)
 Positivehomogeneous operators, heat kernel estimates and the LegendreFenchel transform (with Laurent SaloffCoste), Stochastic Analysis and Related Topics: A Festschrift in Honor of Rodrigo Bañuelos. Progress in Probability. (2017)

Scott Taylor 
Research Areas: Knot Theory, Geometric Topology
Selected Publications:
 Additive invariants for knots, links and graphs in 3manifolds (with Tomova) Geometry & Topology (2018)
 Dehn filling and the Thurston norm (with Baker) Journal of Differential Geometry (2019)
 Distortion and the bridge distance of knots (with Blair, Campisi, Tomova) Journal of Topology (2020).

Nora Youngs 
Research Areas: Applied Algebraic Geometry and Mathematical Neuroscience
Selected Publications:
 E. Gross, N. Kazi Obatake, and N. Youngs, Neural ideals and stimulus space visualization 2017, Advances in Applied Mathematics, to appear.
 C. Curto, E. Gross, J. Jeffries, K. Morrison, M. Omar, Z. Rosen, A. Shiu, and N. Youngs, What makes a neural code convex?, SIAM Journal of Applied Algebra and Geometry, Vol 1 (2017) 222238.
 C. Curto, V. Itskov, A. VelizCuba, and N. Youngs. The neural ring: an algebraic tool for analyzing the intrinsic structure of neural codes. Bull. Math. Biol., 75 (2013) no. 9, 1571–1611.
