Professional Information

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 Kavita, 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

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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