Employment History
2022-pres
Professor, University of Houston
2016-2022
Associate Professor, University of Houston
2013-2016
EPSRC Research Fellow, University of York
2011-2013
EPSRC Research Fellow, University of Bristol
2011
Research Fellow, University of Bristol
2011
Visiting Researcher, University of Texas at Austin
2008-2011
Research Associate, University of York, UK
2007-2008
Instructor, Brandeis University
2006-2007
Lecturer, University of Texas at Austin
Education
2000-2006
University of Texas at Austin
1998-1999
California Institute of Technology
1996-1998
Texas Academy of Mathematics and Science
August 2006
PhD Mathematics, University of Texas at Austin
May 2001
BS Mathematics, University of Texas at Austin
Specializations
Aperiodic order, as manifested in number theory, dynamical systems, probability theory, and tiling theory
Research Funding
2020-pres
PI for NSF grant `Diophantine approximation and aperiodic order,' $186K
2017
PI for NSF grant `Houston Summer School in Dynamical Systems,' $45K
2015-2016
PI for EPSRC grant `Gaps theorems and statistics of patterns in quasicrystals,' £320K
2013-2015
PI for EPSRC New Directions Award `Diophantine approximation, chromatic number, and equivalence classes of separated nets,' £230K
2011-2016
PI for EPSRC Career Acceleration Fellowship `Circle rotations and their generalisations in Diophantine approximation,' £370K
2013
PI for undergraduate research project
2012
PI for Nuffield Undergraduate Research Bursary
2011
Research Fellowship, University of Bristol
2008-2010
RA for EPSRC project grant
2005
Edward Louis and Alice Laidman Dodd Fellowship, UT Austin
2004
Bruton Fellowship, UT Austin
2002-2003
NSF VIGRE support, UT Austin
2001
NSF REU participant, UIUC
Professional Service
2022-pres
Managing editor for the Houston Journal of Mathematics (with Bernhard Bodmann)
2018-pres
Editorial board for the Houston Journal of Mathematics
2014-2022
Editorial board for publications of the London Mathematical Society (Journal, Bulletin, Transactions)
2014-2020
Editorial board for the Proceedings of the London Mathematical Society
2014-pres
Panel member for National Science Foundation
2014
Panel member for EPSRC
2011-pres
Member of EPSRC peer review college
Courses Taught
University of Houston
Accelerated calculus I and II, modern algebra (graduate course), probability theory, intermediate analysis, complex analysis, abstract algebra, interest theory (financial math), differential equations, advanced linear algebra I and II, analytic number theory (graduate course), topological groups (graduate course).
University of Bristol
Topological groups (graduate reading course), analytic number theory (graduate course)
University of York
Further number theory, metric number theory, Galois theory
Brandeis University
Analytic number theory (graduate course), complex analysis, rings and fields, calculus of several variables
University of Texas
Number theory, cryptography, discrete math, multivariable calculus, differential and integral calculus, precalculus, mathematics for honors liberal arts students
Research Students and Postdocs
2021-pres
Kavita Dhanda, PhD student
2018-2022
Huayang Chen, PhD student
2017-2022
Akshat Das, PhD student
2020
Juan J. Ramirez, Undergraduate research
2018
Daniel Flores, Undergraduate research
2014-2019
Kayleigh Measures, PhD student
2014-2016
James Walton, PhD, RA
2018
Grant Getzelman, Masters student
2014
Simon Stead, Undergraduate research
2013-2016
Henna Koivusalo, PhD, RA
2012-2015
Sara Munday, PhD, RA
2012-2016
Matthew Palmer, PhD student
2012-2016
Christopher White, PhD student
2013
Sophie Stevens, Undergraduate research
2012-2013
Eric Latorre Crespo, Masters student
2012
Michael Anastos, Undergraduate research
Outreach
2021-2023
Organizer, coach, and teacher for Mathletes, an after school math club for 3rd-5th graders.
2021-2022
Helped develop and record the audio guide for the M.C. Escher exhibit at the Museum of Fine Arts, Houston.
Apr 2020
Zoom seminar for high school students on Diophantine Approximation, Texas Academy of Mathematics and Science
Sept 2017
Gave math lectures for displaced elementary and middle school students after Hurricane Harvey, Hurricane Harvey School at the University of Houston
Feb 2017
Presentation for high school students on the mathematics of origami, Texas Academy of Mathematics and Science
Jan 2017
Presentation about mathematics at middle school career fair, Fort Settlement Middle School
Mar 2016
Royal Institution Masterclasses, "What is the largest number?" and "How large is infinity?"
Jan 2016
Judge for poster session at the Joint Math Meetings of the AMS
Mar 2015
Interactive presentation about probability theory at weekend math event for primary and secondary school students
2014-2016
Organized and led a bi-weekly problem solving course for high school students from around York
Nov 2014
Public lecture for York University Math Society on "Constructibility, solvability, and origami"
Recent and Upcoming Talks, Conferences, and Research Visits
Aug 2023
Aspects of Aperiodic Order, Oberwolfach, Germany
Apr 2023
Invited speaker, Dynamics Seminar (virtual), UNT
Mar 2023
Invited speaker, Colloquium, UTRGV
Mar 2022
Invited speaker, Number Theory Seminar (virtual), Rutgers University.
Mar 2022
Invited speaker, Algebra, Number Theory, and Combinatorics Seminar (virtual), Claremont McKenna College.
Feb 2022
Invited speaker, Seminar on Selected Topics in Mathematics (virtual), University of Liverpool, UK.
Nov 2021
Invited speaker, AMS Special Session on Topological Dynamics and its Applications (virtual).
June 2021
Invited speaker, Moscow Conference on Combinatorics and Applications (virtual), international.
June 2021
Invited speaker, Workshop on Diophantine Analysis and Related Topics (virtual), international.
Mar 2021
Invited speaker, Ergodic Theory and Dynamical Systems Seminar (virtual), University of Zurich, Switzerland
Nov 2020
Invited speaker, Diophantine Approximation and Homogeneous Dynamics Seminar (virtual), University of York, UK
Oct 2020
Invited speaker, Seminar on Diophantine Analysis (virtual), Moscow, Russia
Apr 2020
Invited speaker, Seminar on Dynamical Systems (virtual), University of Vienna, Austria
Feb 2020
Invited speaker, Mathematical Physics and Harmonic Analysis Seminar, Texas A&M University
Dec 2019
Invited speaker, Workshop on Proof of Duffin-Schaeffer Conjecture, University of Bristol, UK
Mar 2019
Invited speaker, Diophantine Analysis and Related Fields, University of Tsukuba, Japan
Nov 2018
Invited speaker, Dynamical Systems Seminar, University of Maryland
Sept 2018
Invited speaker, Model Sets and Aperiodic Order, University of Durham, UK
Aug 2018
Colloquium, CCR Princeton
May 2018
Invited speaker, Analytic Number Theory Session, International Conference on Mathematics and Statistics, University of Memphis
May 2018
Colloquium, University of Mississippi
Apr 2018
Invited speaker, Number Theory Seminar, Texas A&M University
Feb 2018
Invited speaker, Rice Undergraduate Colloquium, Rice University
Jan 2018
Joint Meetings of the AMS, Special Session in Honor of Jeffrey Vaaler, San Diego, CA
Dec 2017
Tiling and Recurrence, CIRM Luminy, France
Oct 2017
Spectral Structures and Topological Methods in Mathematical Quasicrystals, Oberwolfach, Germany
Sept 2017
Colloquium, Rice University
July 2017
Invited speaker, Diophantine Approximation and Dynamical Systems, Wuhan, China
July 2017
Invited speaker, Number Theory Seminar, Seoul National University, South Korea
June 2017
Invited speaker, Number Theory and Dynamics, Muuido, South Korea
Mar 2017
Colloquium, Claremont McKenna and surrounding universities
Mar 2017
Invited speaker, Algebra, Number Theory, and Combinatorics Seminar, Claremont McKenna and surrounding universities
Mar 2017
Invited speaker, Algebraic Geometry and Number Theory Seminar, Rice University
Feb 2017
Colloquium, University of North Texas
Feb 2017
Colloquium, Indiana University-Purdue University Indianapolis
Nov 2016
Invited speaker, Groups and Dynamics Seminar, Texas A&M University
Nov 2016
Invited speaker, Number Theory Seminar, Oklahoma State University
July 2016
Invited speaker, Korean Institute for Advanced Study, Seoul, Korea
June 2016
Invited speaker, Summer School on Fractal Geometry and Complex Dynamics, Cal Poly San Luis Obispo
June 2016
Invited speaker, University of Bielefeld, Germany
June 2016
Invited speaker, Transversal Aspects of Tilings, Oleron, France
Apr 2016
Diophantische Approximationen, Oberwolfach, Germany
Apr 2016
Invited speaker, Renormalization in Dynamics, Scuola Normale Superiore, Pisa, Italy
Jan 2016
Invited speaker, AMS National Meeting, Special Session on Problems in Geometry and Design of Materials, Seattle, Washington
Oct 2015
Invited speaker, Automatic Sequences, Number Theory, Aperiodic Order, Delft, Netherlands
Oct 2015
Colloquium, University of Bremen, Germany
Oct 2015
Organizer, Arbeitsgemeinschaft: Mathematical Quasicrystals, Oberwolfach, Germany
Sept 2015
Invited speaker, Number Theory Down Under, Newcastle, Australia
Sept 2015
Colloquium, University of Newcastle, Australia
July 2015
Diophantine Approximation and Related Topics, Aarhus, Denmark
June 2015
Invited speaker, 30th Summer Conference on Topology and its Applications, Galway, Ireland
June 2015
Invited speaker, 18th Galway Topology Colloquium, Galway, Ireland
May 2015
Colloquium, TATA Institute of Fundamental Research, Mumbai, India
May 2015
Invited speaker, Symposium on Topological Dynamics and Applications, 30th Annual Conference of the Ramanujan Mathematical Society, Mohali, India
Feb 2015
Invited speaker, Number Theory Seminar, Durham University
Feb 2015
Invited speaker, Geometry Seminar, University of Michigan
Jan 2015
Invited speaker, Workshop on Aperiodic Order, Leicester University
June 2014
Joint meetings of the AMS and IMU, Israel
June 2014
Invited speaker, Dynamics Seminar, University of Tel Aviv, Israel
Apr 2014
Invited speaker, British Mathematical Colloquium, Queen Mary University
Mar 2014
Invited speaker, Open Statistical Physics Conference, Open University
Feb 2014
Vienna University of Technology, Austria
Feb 2014
Invited speaker, Dynamics Seminar, Bristol University
Feb 2014
Invited speaker, Number Theory Seminar, Royal Holloway University
Jan 2014
Invited speaker, Warwick-Keio Conference in Ergodic Theory, University of Warwick
Nov 2013
Invited speaker, Pure Math Seminar, Maynooth University, Ireland
June 2013
Invited speaker, Number Theory Seminar, Durham University
Apr 2013
Organizer, Advances in Number Theory and Dynamical Systems, University of Bristol
Dec 2012
Invited speaker, Pure Math Seminar, Leicester University
Nov 2012
Invited speaker, Number Theory Seminar, Oxford University
Sep 2012
Invited speaker, Pure Math Seminar, University of East Anglia
May 2012
Invited speaker, Ergodic Theory Workshop, University of Surrey
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