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Nathaniel Eldredge

Nathaniel Eldredge

Professor and PhD Program Coordinator

Mathematical Sciences
Natural and Health Sciences

Contact Information

Email

neldredge@unco.edu

Phone

(970) 351-2267

Office

Ross Hall 2239C

Education

2009, Ph.D. (Mathematics), University of California, San Diego
2005, M.A. (Mathematics), University of California, San Diego
2003, B.S. (Mathematics), Harvey Mudd College

Professional/Academic Experience

2018-Present: Associate Professor, University of Northern Colorado
2013-2018: Assistant Professor, University of Northern Colorado
2009-2013: Postdoctoral Associate / Visiting Assistant Professor, Cornell University
2008-2009: Associate Instructor, University of California, San Diego
2003-2009: Teaching Assistant, University of California, San Diego

Research/Areas of Interest

Probability theory and stochastic processes
Stochastic, functional and geometric analysis
Probability and analysis on sub-Riemannian manifolds and Lie groups
Partial differential equations, heat kernel analysis, and functional inequalities

Publications/Creative Works

F. Baudoin and N. Eldredge. Transportation inequalities for Markov kernels and their applications. Electron. J. Probab. 26(45):1–30, 2021. PREPRINT.
N. Eldredge, M. Gordina and L. Saloff-Coste. Left-invariant geometries on SU(2) are uniformly doubling. In press, Geom. Funct. Anal. 28(5):1321–1367, 2018.PREPRINT.
N. Eldredge. On complex H-type Lie algebras. Le Matematiche 73(1):155-160, 2018.
N. Eldredge. Strong hypercontractivity and strong logarithmic Sobolev inequalities for log-subharmonic functions on stratified Lie groups. Nonlinear Analysis 168:1–26, 2018. PREPRINT.
N. Eldredge, L. Gross and L. Saloff-Coste. Strong hypercontractivity and logarithmic Sobolev inequalities on stratified complex Lie groups. Trans. Amer. Math. Soc. 370(9):6651–6683, 2018. PREPRINT.
B. K. Driver, N. Eldredge and T. Melcher. Hypoelliptic heat kernels on infinite-dimensional Heisenberg groups. Trans. Amer. Math. Soc. 368:989–1022, 2016. PREPRINT.
N. Eldredge and L. Saloff-Coste. Widder’s representation theorem for symmetric local Dirichlet spaces. J. Theoret. Probab. 27(4):1178–1212, 2014.
N. Eldredge. Gradient estimates for the subelliptic heat kernel on H-type groups. J. Funct. Anal. 258(2):504–533, 2010.
N. Eldredge. Precise estimates for the subelliptic heat kernel on H-type groups. J. Math. Pures. Appl. 92(1):52–85, 2009.