Nate Eldredge

Contact Information

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

• 2013-Present: 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

N. Eldredge, M. Gordina and L. Saloff-Coste. Left-invariant geometries on SU(2) are uniformly doubling. Preprint. arXiv:1708.03021
• N. Eldredge. Strong hypercontractivity and strong logarithmic Sobolev inequalities for log-subharmonic functions on stratified Lie groups. Preprint. arXiv:1706.07517
• N. Eldredge. On complex H-type Lie algebras. Preprint. arXiv:1406.2396
• N. Eldredge, L. Gross and L. Saloff-Coste. Strong hypercontractivity and logarithmic Sobolev inequalities on stratified complex Lie groups. To appear in Trans. Amer. Math. Soc. arXiv:1510.05151
• B. K. Driver, N. Eldredge and T. Melcher. Hypoelliptic heat kernels on infinite-dimensional Heisenberg groups. Trans. Amer. Math. Soc. 368:989–1022, 2016.
• 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.

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