Curriculum Vitae

Contact

Employment

Since August 2010
Hadamard Associate Professor, Ecole Polytechnique, Paris.

January 2009 - July 2010
Triennial Assistant Professor, Rutgers The State University of New Jersey, New Brunswick, NJ.

August 2008 - December 2008
Postdoctoral Fellow, Mathematical Sciences Research Institute, Berkeley, CA.

June 2008 - July 2008
SPUR Mentor and MITES Instructor, Massachusetts Institute of Technology, Cambridge, MA.

September 2007 - May 2008
Member, School of Mathematics, Institute for Advanced Study, Princeton, NJ.

Education

October 2003 - December 2007
Ph.D. student in the Department of Pure Mathematics and Mathematical Statistics, University of Cambridge, under Prof. W.T. Gowers, FRS. Funded by the Engineering and Physical Sciences Research Council and the Gates Cambridge Trust.

January 2006 - June 2006
Visiting graduate student at the Massachusetts Institute of Technology, Cambridge MA, USA, under the supervision of Prof. B.J. Green.

September 2005 - December 2005
Pre-doc position at the Departament de Matematica Aplicada IV, Universitat Politecnica de Catalunya, Barcelona, Spain, with Prof. Oriol Serra Albo. Sponsored by the EU Marie Curie Research Training Network COMBSTRU.

October 2002 - June 2003
Clare College, University of Cambridge: Certificate of Advanced Study in Mathematics with Distinction (Part III of the Mathematical Tripos).

October 1999 - June 2002
Clare College, University of Cambridge: BA (Hons) Mathematics (First Class).

August 1990 - July 1999
Wagenburg-Gymnasium Stuttgart, Germany: 'Abitur' in June 1999 with final grade 1.0 (majors: Mathematics, Physics, English and History; minors: Latin, Spanish, German, Politics, Geography, Music and Ethics).

Awards and Prizes

October - November 2011
Visiting Fellowship, Erwin Schrodinger Institute, Vienna.

May - June 2011
Visiting Fellowship, Isaac Newton Institute, Cambridge.

August 2008
Rogers Family Awards for supervising the undergraduate summer research projects of C. Link and Y. Lin, Massachusetts Institute of Technology.

October 2003 - June 2007
Gates Cambridge Scholarship, Bill and Melinda Gates Foundation.

June 2003
Robins Prize, Clare College, University of Cambridge.

June 2002
Harry Paten Scholarship in Mathematics and Owst Prize for Mathematics, Clare College, University of Cambridge.

Languages

Human
English, German and Spanish fluent, good French, basic Italian and Arabic, Latin diploma.

Programming
Mathematica, C, and enough HTML, PHP and JavaScript to maintain this website.

Research Interests

My research focuses on arithmetic structures in dense sets of integers and combines Fourier analytic, combinatorial and probabilistic methods. It is part of a thriving area called arithmetic combinatorics, a subject that has close connections with ergodic theory and includes many beautiful results such as the Green-Tao Theorem on long arithmetic progressions in the primes.

Publications

See Papers and Preprints.

Talks and Conferences

See Talks and Conferences.

Teaching

During the spring and fall semesters 2009 I taught Mathematical Theory of Probability (477) and Calculus II for the Mathematical and Physical Sciences (152) at Rutgers. Please see my teaching pages for more information.

During the summer of 2008 I supervised the research projects of two undergraduate students at the Massachusetts Institute of Technology as part of the Summer Program in Undergraduate Research (SPUR).

At the same time I taught Advanced (multivariable) Calculus in the program Minority Introduction To Science and Engineering (MITES) at the Massachusetts Institute of Technology.

Between October 2003 and June 2007 I taught around 60 undergraduate students at the University of Cambridge in groups of two or three in Analysis I (first year), Probability (first year), Analysis II (second year) and Prime Numbers (fourth year).

Between April 2001 and June 2002 I was one of two student representatives on the Teaching Committee of the Faculty of Mathematics in the University of Cambridge.

During the summer of 2000 I worked for a local charity in Tejalpa, Mexico, teaching English and secondary-level mathematics to disadvantaged adults in evening classes and to young children during the day.

Other Professional Activities

Co-organizer of the Discrete Math Seminar at Rutgers, Spring and Fall 2009, together with Prof. Van Vu.
Co-organizer of the Analysis Seminar at the Institute for Advanced Study, Spring 2008, together with Dr. Tom Sanders.
Reviewer for mathscinet and Zentralblatt MATH.
Referee for various journals.
Member of the American Mathematical Society and the London Mathematical Society.

Recreational Activities

Music
Numerous performances with amateur orchestras, most recently the Cambridge Symphony and the Mercury Orchestra in Cambridge, MA and the Cambridge Graduate Orchestra (orchestral manager and section leader violin II) in Cambridge, UK.

Voluntary work
MA, NJ and NY state-certified Emergency Medical Technician. Currently volunteering with the Central Park Medical Unit in Manhattan, in the past worked with the British Red Cross, at Addenbrooke's hospital and with Student Community Action, Cambridge.

Sports
Running, yoga (ashtanga primary series).

PDF version

Available upon request.