Scholars@Duke
Ezra Miller

Ezra Miller CV

Professor of Mathematics
Mathematics
Box 90320, Durham, NC 27708-0320
209 Physics Bldg, 120 Science Drive, Durham, NC 27708
Office hours
CV

Advising & Mentoring

Undergraduate students advised
  1.   2022–2024  Ben Goldstein: Computational complexity of unfolding polyhedra
  2.   2022–2024  David Goh: Spectral graph theory and computational topology
  3.   2022–2023  Jesse Zhang: Toward a theory of lifetime filtration for multiparameter persistence modules
                                                   Geodesic complexity of convex polyhedra
  4.   2022–2023  Nathan Nguyen: Matroid h-vectors and Stanley's hypothesis
  5.   2021–2022  William He: Computing presentations of fly wing bipersistence
  6.   2020           Zizai Cui: Classifying group actions on Abelian surfaces preserving symplectic structure
  7.   2020–2021  Phoebe Klett: Computing sylvan minimal resolutions of monomial ideals
  8.   2020            Joey Li: Indecomposable multipersistence modules and QR codes (PRUV)
  9.   2019–2021  Nathan Geist: Experiments in probabilistic homology
                                                   Homological algebra of real multipersistence
                                                   Global dimension of real-exponent polynomial rings (PRUV)
  10.   2018–2019  Cheryl Wang: Algorithms for unfolding polyhedra
  11.   2016–2019  David Geng: Topology and geometry of piano music and performance
  12.   2016–2018  Surabhi Beriwal: Computation of fruit fly wing vein topology
                        Fulbright semifinalist
  13.   2014           Aaron Park: Geometry of lung arteries (Biomed Engineering/Math, summer research)
  14.   2013           Victoria Cheng: Mathematical biology
  15.   2012–2015  Rowena (Jingxing) Gan: Geometry of harmony in Impressionist music (PRUV)
                        PhD candidate, UPenn Wharton School: Operations, Information, and Decisions
  16.   2010           Ezgi Kantarcι: Combinatorial Game Theory (summer research)
                        PhD, USC Math
                        visited from undergrad institution Bogaziçi University
  17.   2009–2011  Alan Guo: Lattice point methods for combinatorial games (PRUV)
                        Analyst, Weiss Asset Management
                        PhD, MIT CS AIL
                        Duke Faculty Scholar
                        Goldwater honorable mention
  18.   2008–2009  Nathaniel Born: Implementing a nonoverlapping unfolding algorithm (UROP)
                        Associate Engineer, Natural Resource Group, LLC
                        advised at Minnesota
  19.   2007–2008  Matthew Coudron: Visualizing flows on polyhedra
                        PhD candidate, MIT CS AIL
                        Goldwater Scholar
                        advised at Minnesota
  20.   2003–2007  David Molitor: (Math and Economics major with Physics minor)
                        Assistant Professor of Finance, UIUC
                        Goldwater scholar
                        advised at Minnesota
PhD students advised
  1.   2019–         Yupeng Li: combinatorial algebraic geometry and commutative algebra
  2.   2019–         Shreya Arya: geometric probability, applied topology, geometry, and algebra
  3.   2015–2020  Do Tran: Sampling from stratified spaces
                        Postdoc, Göttingen
  4.   2015–2020  Erika Ordog: Minimal resolutions of monomial ideals
                        Postoc, Texas A&M
  5.   2014–2019  Dmitry Vagner: Diagrammatics in categorification and compositionality
                        Research Engineer, Polygon Zero
  6.   2013–2019  Ashleigh Thomas: Invariants and metrics for multiparameter persistent homology
                        Postdoc, University of Florida / Georgia Tech
  7.   2011–2015  Kangkang Wang: Determinant, wall monodromy, and spherical functor
                        jointly advised with Paul Aspinwall
                        Software Engineer, Google
  8.   2009–2014  Christopher O'Neill: Monoid congruences, binomial ideals, and their decompositions
                        Assistant Professor, San Diego State University
  9.   2004–2012  Patrick Byrnes: Structural aspects of differential posets
                        advised at Minnesota
                        jointly advised with Vic Reiner, UMN
  10.   2005–2015  Robert Edman: Diameter and coherence of monotone path graphs in low corank
                        advised at Minnesota
                        jointly advised with Vic Reiner, UMN
PhD students informally mentored (e.g., Visiting)
  1.   2020–         Xiaojun Zheng
                        Duke Statistical Science: statistical applications of persistent homology
  2.   2006–2008  Dumitru Stamate
                        Asistent Universitar, University of Bucharest, Romania
                        2009 PhD, University of Bucharest
                        Fullbright scholar at UMN
                        mentored at Minnesota
  3.   2007–2008  Susan Sierra
                        Senior Lecturer at University of Edinburgh
                        2008 PhD, University of Michigan
                        mentored at Michigan
  4.   2007           Raman Sanyal
                        Professor, Goethe-Universität Frankfurt
                        2008 PhD, TU Berlin
                        mentored at Minnesota
Postdocs mentored
  1.   2023–         Ling Zhou
                        Duke Math
  2.   2023–         Ranthony Edmonds
                        Duke Math
  3.   2020–2023  Margaret Regan
                        Duke Math
                        Assistant Professor, Holy Cross
  4.   2020–2023  Woojin Kim
                        Duke Math
                        Assistant Professor, KAIST, South Korea
  5.   2017–2020  Greg Malen
                        Duke Math
                        Visiting Assistant Professor, Union College
  6.   2016–2017  Justin Curry
                        Duke Math
                        Assistant Professor, University at Albany
  7.   2015–2017  Adam Jaeger
                        Duke Stat and SAMSI
                        Assistant Professor, Statistics, Wichita State Univ.
  8.   2015–2016  Justin Allman
                        Duke Math
                        Assistant Professor, US Naval Academy
  9.   2011–2013  Christine Berkesch
                        Duke Math
                        Assistant Professor, U. Minnesota
  10.   2010–2011  Anne Shiu
                        NSF Postdoc, Duke Math
                        Assistant Professor, Texas A&M
  11.   2010, Fall    Manoj Gopalkrishnan
                        visitor to Duke Math
                        Associate Prof., Elec. Engin., IIT Bombay
  12.   2009–2011  Sonja Mapes
                        Duke Math
                        Assistant Professor of the Practice, Notre Dame
  13.   2009–2010  Megan Owen
                        SAMSI/NCSU Math
                        Assistant Professor of CS, Lehman College
  14.   2006–2009  Stephen Griffeth
                        Minnesota Math
                        Associate Professor, U. Talca, Chile
  15.   2006–2009  Drew Armstrong
                        Minnesota Math
                        Associate Professor, U. Miami
  16.   2006–2008  Milena Hering
                        Minnesota Math
                        Lecturer, U. Edinburgh
  17.   2005–2008  Alex Yong
                        Minnesota Math
                        Associate Professor, U. Illinois, Urbana-Champaign
  18.   2005–2008  Calin Chindris
                        Minnesota Math
                        Associate Professor, U. Missouri
  19.   2003–2005  Jeremy Martin
                        Minnesota Math
                        Professor, U. Kansas
Date last modified: Thu Dec 21 02:42:51 EST 2023