About Me

In 2011, I received by B.S. in Mathematics and Physics at the University of California, San Diego and in 2017, I received my PhD in Mathematics from Purdue University, under the supervision of David Ben McReynolds.

Papers

*Locally Equivalent Correspondences*(with B. Linowitz and D. B. McReynolds). Ann. Inst. Fourier (Grenoble) 67 (2017), no. 2, 451–482.*Appendix to Quasi-isometric embeddings of non-uniform lattices*by D. Fisher and T. Nguyen (with S. Garibaldi, D. B. McReynolds, and D. Witte Morris). Comment. Math. Helv. 95 (2020), no. 1, 37–78.*Effective virtual and residual properties of some arithmetic hyperbolic 3-manifolds*(with J. Deblois and P. Patel). Trans. Amer. Math. Soc. 373 (2020), no. 11, 8219-8257.*Finiteness of maximal geodesic submanifolds in hyperbolic hybrids*(with D. Fisher, J.-F. Lafont, and M. Stover). J. Eur. Math. Soc. (JEMS) 23 (2021), no. 11, 3591–3623.*Areas of totally geodesic surfaces of hyperbolic 3-orbifolds*(with B. Linowitz and D. B. McReynolds). Pure Appl. Math. Q. 17 (2021), no. 1, 1–25.*Arithmeticity, superrigidity, and totally geodesic submanifolds*(with U. Bader, D. Fisher, and M. Stover). Ann. of Math. (2) 193 (2021), no. 3, 837–861.*Arithmeticity, superrigidity, and totally geodesic submanifolds of complex hyperbolic manifolds*(with U. Bader, D. Fisher, and M. Stover). Invent. Math. 233 (2023), no. 1, 169–222.*Arithmetic progressions in the primitive length spectrum.*Available at arXiv:1602.01869 [math.GT].*On the genus of congruence surfaces from maximal orders*(with E. Albers). Available at arXiv: 1901.07934 [math.GT].*Infinite-type loxodromic isometries of the relative arc graph*(with C. Abbott and P. Patel). Available at: arXiv: 2109.06106 [math.GT].*Unmarked simple length spectral rigidity for covers*(with T. Aougab, M. Lahn, and M. Loving). Available at: arXiv: 2210.16706 [math.GT].*A note on an effective characterization of covers with an application to higher rank representations*(with T. Aougab, M. Lahn, and M. Loving). Available at: arXiv:2307.09643 [math.GT].*Shift maps are not type-preserving*(with C. Abbott and P. Patel). Available at: arXiv: 2212.09156 [math.GT].*Azumaya algebras and once punctured torus bundles*. Available at arXiv:2303.16309 [math.GT].

Current Teaching

M4653, Introduction to Differential Geometry I, Fall 2023

M5900, Graduates Mathematics Readings (Mostow Rigidity), Fall 2023

M5900, Graduates Mathematics Readings (Hyperbolic Geometry), Fall 2023

Past Teaching

**University of Oklahoma:**

M2423, Calculus & Analytic Geometry II, Spring 2023

M2443, Calculus & Analytic Geometry IV, Fall 2022

**UC Berkeley:**

M185, Complex Analysis, Fall 2022

M185, Complex Analysis, Spring 2021

M199, Directed Reading Course (Measure theory), Spring 2020

M104, Real Analysis, Spring 2020

M185, Complex Analysis, Fall 2019

M104, Real Analysis, Fall 2019

**Indiana University:**

M391 Introduction to Mathematical Reasoning, Spring 2019

M211 Calculus I, Fall 2018

M211 Calculus I, Spring 2017

M118 Finite Mathematics, Fall 2017

**Purdue University:**

MA16010 Applied Calculus I, Fall 2015

MA26600 Ordinary Differential Equations, Summer 2014

MA22100 Calculus for Technology I, Spring 2014

MA22300 Introductory Analysis I, Fall 2013

MA26200 TA for Linear Algebra And Differential Equations, Spring 2013

MA16500 TA for Analytic Geometry And Calculus II, Fall 2012

MA16200 TA for Plane Analytic Geometry And Calculus II, Spring 2012

MA26100 TA for Multivariate Calculus, Fall 2011

Nicholas Miller

Assistant Professor

Department of Mathematics

University of Oklahoma

Research Interests: Hyperbolic geometry, low dimensional topology, homogeneous dynamics, and arithmetic groups.

Office: PHSC 801

Email: nickmbmiller@ou.edu

CV can be found here.