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Scholarly Interest Report
         
Anthony Varilly Alvarado
Associate Professor
Associate Professor of Mathematics
 
e-mail:Anthony.Varilly.Alvarado@rice.edu
 
  • A.B. Mathematics (2003) Harvard University, Cambridge, MA
  • Ph.D. Mathematics (2009) University of California at Berkeley, Berkeley, CA
  • C.A.S.M. Mathematics (2004) University of Cambridge, Cambridge, England
 
Primary Department
   Department of Mathematics
Picture
 
Websites
 Homepage
 
Research Areas
 Arithmetic Algebraic Geometry: Rational points on varietes; del Pezzo and K3 surfaces.
 
Selected Publications
 Abstracts
 

Anthony Várilly-Alvarado, Kodaira dimension of certain orthogonal modular varieties, Oberwolfach Reports 32 (2015), 27-28.

 
 Refereed articles
 

Dan Abramovich and Anthony Várilly-Alvarado, Campana points, Vojta's conjecture, and level structures on semistable abelian varieties. Journal de Théorie des Nombres de Bordeaux, to appear.

 
 

Dan Abramovich, Anthony Várilly-Alvarado (with an Appendix by Keerthi Madapusi Pera), Level structures on abelian varieties and Vojta's conjecture. Compositio Mathematica 153 (2017), 373-394.

 
 

Sho Tanimoto and Anthony Várilly-Alvarado, Kodaira dimension of moduli of special cubic fourfolds. Journal für die reine und angewandte Mathematik, to appear.

 
 

Anthony Várilly-Alvarado and Bianca Viray, Smooth compactifications of certain normic bundles, European Journal of Mathematics1 (2015), 250-259.


http://link.springer.com/article/10.1007%2Fs40879-015-0035-7#page-1
 
 

Anthony Várilly-Alvarado and Bianca Viray, Arithmetic of del Pezzo surfaces of degree 4 and vertical Brauer groups, Advances in Mathematics, 255 (2014), 153-181.


http://www.sciencedirect.com/science/article/pii/S0001870814000152
 
 

Asher Auel, Marcello Bernardara, Michele Bolognesi and Anthony Várilly-Alvarado, Cubic fourfolds containing a plane and a quintic del Pezzo surface, Algebraic Geometry1 (2014), 181-193.


http://algebraicgeometry.nl/2014-2/2014-2-010.pdf
 
 

Cecilia Salgado, Damiano Testa, and Anthony Várilly-Alvarado, On the unirationality of del Pezzo surfaces of degree two, Journal of the London Mathematical Society90 (2014), 121-139.


http://jlms.oxfordjournals.org/content/90/1/121
 
 

Brendan Hassett and Anthony Várilly-Alvarado, Failure of the Hasse principle on general K3 surfaces, Journal de l'Institut de Mathématiques de Jussieu, 12 (2013), 853-877.


http://dx.doi.org/10.1017/S1474748012000904
 
 

Anthony Várilly-Alvarado and Bianca Viray, Higher dimensional analogues of Châtelet surfaces, Bulletin of the London Mathematical Society, 44 (2012) 125-135.


http://blms.oxfordjournals.org/content/47/2/217
 
 

Anthony Várilly-Alvarado, Density of rational points on isotrivial rational elliptic surfaces, Algebra & Number Theory 5 (2011) 659-690.


http://msp.org/ant/2011/5-5/ant-v5-n5-p04-p.pdf
 
 

Anthony Várilly-Alvarado and Bianca Viray, Failure of the Hasse Principle for Enriques Surfaces, Advances in Mathematics 226 (2011) 4884-4901.


http://www.sciencedirect.com/science/article/pii/S0001870810004536
 
 

Brendan Hassett, Anthony Várilly-Alvarado and Patrick Varilly, Transcendental obstructions to the Hasse principle on general K3 Surfaces, Advances in Mathematics 228 (2011) 1377-1404.


http://www.sciencedirect.com/science/article/pii/S0001870811002064
 
 

Damiano Testa, Mauricio Velasco and Anthony Várilly-Alvarado, Big Rational Surfaces, Mathematische Annalen, 351 (2011) 95-107.


http://link.springer.com/article/10.1007%2Fs00208-010-0590-7
 
 

Anthony Várilly-Alvarado and David Zywina, Arithmetic E8 lattices with maximal Galois Action LMS Journal of Computation and Mathematics 12 (2009) 144-165.


http://dx.doi.org/10.1112/S1461157000001479
 
 

Damiano Testa, Anthony Várilly-Alvarado and Mauricio Velasco, Cox rings of degree one del Pezzo surfaces Algebra and Number Theory 3 (2009) 729-761


http://msp.org/ant/2009/3-7/p01.xhtml
 
 

Daniel Erman, Gregory G. Smith and Anthony Várilly-Alvarado, Laurent polynomials and Eulerian numbers, Journal of Combinatorial Theory Series A, 118 (2011) 396-402.


http://www.sciencedirect.com/science/article/pii/S0097316510000348
 
 

Anthony Várilly-Alvarado, Weak approximation on del Pezzo surfaces of degree 1, Advances in Mathematics 219 (2008), 2123-2145.


http://www.sciencedirect.com/science/article/pii/S0001870808002314
 
 Editor of books
 

Brauer groups and obstruction problems: moduli spaces and arithmetic. (Asher Auel, Brendan Hassett, Bianca Viray, and Anthony Várilly-Alvarado, eds.) Progress in Mathematics 320, Birkhäuser, 2017.

 
 Book chapters
 

Anthony Várilly-Alvarado, Arithmetic of K3 surfaces, (Notes for the 2015 Arizona Winter School) Geometry over nonclosed Fields (F. Bogomolov, B. Hassett and Y. Tschinkel eds.), Simons Symposia 5, Springer (2017), 197--248.

 
 

Kelly McKinnie, Sho Tanimoto, Justin Sawon, and Anthony Várilly-Alvarado, Brauer groups on K3 surfaces and arithmetic applications. In Brauer groups and obstruction problems: moduli spaces and arithmetic (A. Auel, B. Hassett, A. Várilly-Alvarado, and B. Viray eds.) Progress in Mathematics 320, Birkhäuser (2017), 177--218.

 
 Refereed conference papers
 

Anthony Várilly-Alvarado, Arithmetic of del Pezzo surfaces, Birational geometry, rational curves, and arithmetic (F. Bogomolov, B. Hassett and Yu. Tschinkel, eds), Simons Symposia 1, Springer (2013), 293-319.

 
Presentations
 Conference Committee Member
 

''Rational Points / Pontos Racionais'' IMPA, Rio de Janeiro (5/25/2015 - 5/29/2015). With Asher Auel, Oliver Lorscheid, and Cecília Salgado.

 
 

''Texas Algebraic Geometry Symposium.'' Houston, Texas (4/4/14 - 4/6/14). With Brendan Hassett

 
 

"Brauer groups and obstruction problems: moduli spaces and arithmetic." American Institute of Mathematics. (2/25/13-3/1/13) With Asher Auel, Brendan Hassett, and Bianca Viray

 
 

"Texas Algebraic Geometry Symposium." Houston, Texas. (4/22/11 - 4/24/11) With Evan Bullock and Brendan Hassett

 
 Invited Talks
 

"Abelian n-division fields of elliptic curves and Brauer groups of product Kummer & abelian surfaces."  Arithmetic Algebraic Geometry. Courant Institute of Mathematical Sciences, New York University. New York.  (09/01/2016)

 
 

"Level structures, abelian varieties, and Brauer groups of K3 surfaces." CA+ University of Wisconsin, Madison, Wisconsin.  (11/05/2016)

 
 

''Kodaira dimension of certain orthogonal modular varieties.'' Explicit Methods in Number Theory, Oberwolfach, Germany. (7/7/2015) With Sho Tanimoto.

 
 

''Kodaira dimension of moduli of special cubic fourfolds.'' Explicit methods for modularity of K3 Surfaces and other higher weight motives, ICERM, Providence, Rhode Island. (10/19/2015) With Sho Tanimoto.

 
 

''Kodaira dimension of moduli of special cubic fourfolds.'' Simons Symposium ''Geometry over non-closed fields'' (3/23/2015) With Sho Tanimoto.

 
 

''Kodaira dimension of moduli of special cubic fourfolds.'' Special Session on Arithmetic Geometry, AMS Sectional Meeting, Las Vegas, Nevada. (4/18/2015) With Sho Tanimoto.

 
 

''Kodaira dimension of moduli of special cubic fourfolds.'' AMS Summer Institute in Algebraic Geometry, Salt Lake City, Utah. (7/27/2015)  With Sho Tanimoto.

 
 

''Kodaira dimension of moduli of special cubic fourfolds.'' Georgia Algebraic Geometry Symposium, Altlanta, Georgia. (10/25/2015) With Sho Tanimoto.

 
 

''Kodaira dimension of orthogonal modular varieties.'' Texas Algebraic Geometry Symposium, College Station, Texas. (4/10/2015) With Sho Tanimoto.

 
 

"Arithmetic of del Pezzo surfaces of degree 4 and vertical Brauer groups." AMS Special Session on Galois Cohomology and the Brauer Group, Knoxville, Tennessee. (03/22/2014) With Bianca Viray.

 
 

"Brauer groups of K3 surfaces." Rational and integral points on higher-dimensional varieties, American Institute of Mathematics, Palo Alto, California. (05/14/2014) With Kelly McKinnie, Justin Sawon, and Sho Tanimoto.

 
 

"Special Cubic fourfolds and K3 surfaces: an arithmetic perspective." Frontiers of Rationality, Spitsbergen, Norway. (07/18/2014) With Kelly McKinnie, Justin Sawon, and Sho Tanimoto.

 
 

"Special cubic fourfolds and K3 surfaces: an arithmetic perspective." K3, Enriques surfaces, and related topics, Nagoya, Japan. (11/12/2014) With Kelly McKinnie, Justin Sawon, and Sho Tanimoto.

 
 

"Failure of the Hasse principle on general K3 surfaces." New Trends in arithmetic and geometry of algebraic surfaces, CIRM, Luminy, France. (3/14/13) With Brendan Hassett

 
 

"Vertical Brauer groups and del Pezzo surfaces of degree 4." SIAM Conference on Applied Algebraic Geometry, Fort Collins, CO. (8/1/13) With Bianca Viray

 
 

"Failure of the Hasse principle on general K3 surfaces." Summer Workshop in Algebraic and Arithmetic Geometry, (Münich Germany), (7/4/12)

 
 

"Failure of the Hasse principle on general K3 surfaces." Simons Symposium ``Geometry over non-closed fields'', St. Thomas, U.S. Virgin Islands. (2/28/12) With Brendan Hassett

 
 

"Failure of the Hasse principle on general K3 surfaces." Special Session on Rational Points on Varieties, Joint Mathematical Meetings of the AMS, Boston, Massachusetts. (1/5/12) With Brendan Hassett

 
 

"Vertical Brauer groups and del Pezzo surfaces of degree 4." Rational and integral points, with special reference to homogeneous spaces, Beijing, China. (9/27/12) With Bianca Viray

 
 

"Failure of the Hasse principle on general K3 surfaces." Ramification in Algebra and Geometry at Emory (RAGE), Emory University, (05/11)

 
 

"Transcendental obstructions to rational points on general K3 surfaces." Western Algebraic Geometry Symposium (WAGS), Stanford University, (04/11)

 
 

"Cox rings of big rational surfaces." JMM special session in Arithmetic Geometry, San Francisco. (01/06/10)

 
 

"Transcendental obstructions to weak approximation on general K3 surfaces." Rational Points - Theory and Experiment, Zurich, Switzerland. (05/10)

 
 

"Transcendental obstructions to weak approximation on general K3 surfaces." Rational Points 3, Thurnau, Germany. (09/07/10)

 
 

"Big Rational Surfaces." Counting points on varieties, Leiden, The Netherlands. (04/09)

 
 

"Progress in the arithmetic of rational surfaces." AMS Special Session in Arithmetic Geometry, Boca Raton, FL. (10/31/09)

 
 

"Weak approximation on del Pezzos of degree 1." Rational points on curves and higher dimensional varieties, Warwick University. (06/08)

 
 Keynote Speaker
 

''Arizona Winter School Lecture Series: Arithmetic of K3 surfaces.'' University of Arizona, Tucson. (3/14/2015 - 3/18/2015)

 
 

"Rational points on K3 surfaces." Palmetto Number Theory Series XXIII, Columbia, South Carolina. (12/07/2014)

 
 

"El teorema de Hasse-Minkowski (5 lectures)." University of Costa Rica, San José, Costa Rica. (6/13)

 
 

"The RSA public encryption scheme." Rice Math Tournament, Rice University. (2/13)

 
 

"Arithmetic of del Pezzo and K3 surfaces." Invited Mini-course at Centre Interfacultaire Bernoulli (14 hours), Lausanne, Switzerland. (7/10/12 - 8/21/12)

 
 

"Mini-course on del Pezzo surfaces." Arithmetic of Surfaces, Leiden, The Netherlands. (10/10)

 
 Lectures
 

"Elliptic curves, torsion subgroups, and uniform bounds for Brauer groups of K3 surfaces."  University of Virginia.  Department Colloquium, Charlottesville, VA.  (03/03/2016)

 
 

"Elliptic curves, torsion subgroups, and uniform bounds for Brauer groups of K3 surfaces."  Sam Houston State University.  Mathematics Department Colloquium, Huntsville, TX.  (02/17/2016)

 
 

"Elliptic curves, torsion subgroups, and uniform bounds for Brauer groups of K3 surfaces."  University of Oregon.  Department Colloquium, Eugene, OR. (02/01/2016)

 
 

"Diophantine equations, geometry, and Brauer groups."  Simon Fraser University.  PIMS - SFU Colloquium, Burnaby, Canada.  (04/05/2016) 

 
 

"K3 surfaces and cubic fourfolds."  University of Washington.  UW - PIMS Colloquium, Seattle, WA.  (04/29/2016)

 
 

''Rational points on K3 surfaces and cubic fourfolds.'' Rice University.  Department Colloquium, Houston, TX. (9/3/2015)

 
 

''Elliptic curves, torsion subgroups, and uniform bounds for Brauer groups of K3 surfaces.'' Wesleyan University, Department Colloquium, Middletown, CT. (12/10/2015)

 
 

"Ecuaciones diofánticas, geometría algebraica y el grupo de Brauer." Universidad de los Andes, Bogotá, Colombia. (02/11/2014)

 
 

"Explicit Arithmetic on Algebraic Surfaces." Colóquio de Geometria e Aritmética Rio de Janeiro, IMPA, Brazil. (04/25/2014)

 
 

"Explicit Arithmetic on Algebraic Surfaces." Texas Christian University, Colloquium, Fort Worth, TX. (1/30/13)

 
 

"Introduction Workshop talk." Brauer groups and obstruction problems: moduli spaces and arithmetic, American Institute of Mathematics. (2/25/13)

 
 

"Vertical Brauer groups and del Pezzo surfaces of degree 4." Rice University, Colloquium, Houston, TX. (1/24/12) With Bianca Viray

 
 

"Explicit Arithmetic on Algebraic Surfaces." University of Notre Dame, Colloquium, South Bend, Indiana. (1/17/12)

 
 

"Explicit Arithmetic on Algebraic Surfaces." Michigan State University, Colloquium, East Lansing, Michigan. (2/3/12)

 
 

"Explicit Arithmetic on Algebraic Surfaces." University of Alberta, Colloquium, Edmonton, Canada. (1/31/12)

 
 

"Explicit Arithmetic on Algebraic Surfaces." University of North Carolina at Chapel Hill, Colloquium, Chapel Hill, North Carolina. (1/23/12)

 
 

"Explicit Arithmetic on Algebraic Surfaces." University of Illinois at Urbana-Champaign, Colloquium, Urbana-Champaign, Illinois. (1/20/12)

 
 

"Explicit Arithmetic on Algebraic Surfaces." Colorado State University, Colloquium, Fort Collins, Colorado. (1/27/12)

 
 

"Ecuaciones diofánticas, geometría algebraica y grupo el de Brauer." University of Costa Rica, Colloquium, San Pedro, Costa Rica. (6/13/12)

 
 

"The RSA cyrptographic system." The British School of Costa Rica, Pavas, Costa Rica. (6/14/12)

 
 

"Explicit Arithmetic on Algebraic Surfaces." Rice University, Special Colloquium, (11/11)

 
 

"Rational points on rational surfaces." Rice University Math Department Colloquium, Rice University. (08/27/09)

 
 Seminar Speaker
 

"Lang's conjecture and level structures on abelian varieties."  Brown University.  Algebra Seminar, Providence, RI.  (03/21/2016)

 
 

"Kodaira dimension of the moduli spaces of special cubic fourfolds."  Stony Brook University.  Algebraic Geometry Seminar, Stony Brook, NY. (02/10/2016)

 
 

"Level structures, abelian varieties, and Brauer groups of K3 surfaces."  University of Utah.  Algebraic Geometry Seminar, Salt Lake City, UT. (03/01/2016)

 
 

"Level structures, abelian varieties, and Brauer groups of K3 surfaces."  University of Houston.  Complex Geometry Seminar, Houston, TX.  (11/10/2016)

 
 

"Kodaira dimension of the moduli spaces of special cubic fourfolds."  University of Oregon.  Number Theory Seminar, Eugene, OR. (02/02/2016)

 
 

"Lang's conjecture and level structures on abelian varieties."  University of Washington.  Number Theory Seminar, Seattle, WA.  (04/26/2016)

 
 

"Lang's conjecture and level structures on abelian varieties."  Simon Fraser University.  PIMS Abelian Varieties Multisite Seminar, Burnaby, Canada.  (04/07/2016)

 
 

''Special cubic fourfolds and K3 surfaces: an arithmetic perspective.'' Boston College, Algebraic Geometry and Number Theory Seminar, Boston, MA. (2/5/2015) With Kelly McKinnie, Justin Sawon, and Sho Tanimoto.

 
 

''Special cubic fourfolds and K3 surfaces: an arithmetic perspective.'' Queen's University, Algebraic Geometry Seminar, Kingston, Canada. (1/12/2015) With Kelly McKinnie, Justin Sawon, and Sho Tanimoto.

 
 

''Kodaira dimension of orthogonal modular varieties.'' Number Theory Seminar, Stanford University, Palo Alto, CA. (4/27/2015) With Sho Tanimoto.

 
 

''Kodaira dimension of moduli of special cubic fourfolds'' University of Texas at Austin, Number Theory Seminar, Austin TX. (10/13/2015) With Sho Tanimoto.

 
 

''Kodaira dimension of orthogonal modular varieties'' Universidade Federal do Rio de Janeiro, Algebra Seminar, Universidade Federal do Rio de Janeiro, Rio de Janeiro, Brazil. (5/21/2015) With Sho Tanimoto.

 
 

"On the unirationality of del Pezzo surfaces of degree 2." Texas A&M, College Station, Texas. (04/14/2014) With Cecília Salgado and Damiano Testa.

 
 

"Special cubic fourfolds and K3 surfaces: an arithmetic perspective." University of Texas at Austin, Austin, Texas. (09/18/2014) With Kelly McKinnie, Justin Sawon, and Sho Tanimoto

 
 

"Arithmetic of del Pezzo surfaces of degree 4 and vertical Brauer groups." University of North Carolina at Chapel Hill, Arithmetic Geometry Seminar, Chapel Hill, NC. (10/29/13) With Bianca Viray

 
 

"Arithmetic of del Pezzo surfaces of degree 4 and vertical Brauer groups." University of Wisconsin at Madison, Number Theory Seminar, Madison, WI. (10/17/13) With Bianca Viray

 
 

"On Unirationality of del Pezzo surfaces of degree 2." University of Washington, Algebraic Geometry Seminar, Seattle, WA. (5/15/13) With Cecilia Salgado, and Damiano Testa

 
 

"Vertical Brauer groups and del Pezzo surfaces of degree 4." University of Houston, Complex Geometry Seminar, Houston, TX. (4/4/13) With Bianca Viray

 
 

"Failure of the Hasse principle on general K3 surfaces." University of Warwick, Algebraic Geometry Seminar, Coventry, United Kingdom. (12/5/12) With Brendan Hassett

 
 

"Failure of the Hasse principle on general K3 surfaces." Joint Columbia/NYU/CUNY Number Theory Seminar, New York, New York. (4/5/12) With Brendan Hassett

 
 

"Failure of the Hasse principle on general K3 surfaces." Humboldt Universität zu Berlin, Forschungsseminar Arithmetische Geometrie, Berlin, Germany. (12/11/12) With Brendan Hassett

 
 

"Failure of the Hasse principle on general K3 surfaces." University of Texas at Austin, Number Theory Seminar, Austin, Texas. (5/3/12) With Brendan Hassett

 
 

"Failure of the Hasse principle on general K3 surfaces." University of Bristol & Helibronn Institute, Number Theory Seminar, Bristol, United Kingdom. (11/28/12) With Brendan Hassett

 
 

"Failure of the Hasse principle on general K3 surfaces." Texas A&M University, Number Theory Seminar, College Station. (4/18/12) With Brendan Hassett

 
 

"On the unirationality of del Pezzo surfaces of degree 2." Centre Interfacultaire Bernoulli, RatPAC Seminar, Lausanne, Switzerland. (10/25/12) With Cecilia Salgado and Damiano Testa

 
 

"Vertical Brauer groups and del Pezzo surfaces of degree 4." Leibnitz Universität Hannover, Algebraic and Arithmetic Geometry Seminar, Hannover, Germany. (12/10/12) With Bianca Viray

 
 

"Failure of the Hasse principle on Enriques surfaces." University of Wisconsin at Madison, Number Theory Seminar., (02/11)

 
 

"Transcendental obstructions to rational points on general K3 surfaces." California Institute of Technology, Algebraic Geometry Seminar, (10/11)

 
 

"Transcendental obstructions to rational points on general K3 surfaces." Brown University, Algebra Seminar, (05/11)

 
 

"Transcendental obstructions to rational points on general K3 surfaces." University of Wisconsin at Madison, Algebraic Geometry Seminar, (02/11)

 
 

"Transcendental obstructions to weak approximation on general K3 surfaces." Rice University Algebraic Geometry Seminar, Houston. (08/10)

 
 

"Arithmetic of del Pezzo Surfaces of degree 1." Emory University Algebra Seminar, Atlanta, GA. (02/09)

 
 

"Cox rings of big rational surfaces." Algebraic Geometry Seminar, Texas A & M University. (9/21/09)

 
 

"Weak approximation on del Pezzo surfaces of degree 1." Algebraic Geometry Seminar, Rice University. (09/01/09)

 
 

"Zariski density of rational points on del Pezzo surfaces of degree 1." Ecole Normale Supérieur, Séminaire variétés rationnelles, Paris, France.. (06/08)

 
 

"On the arithmetic of del Pezzo surfaces of degree 1." Université de Rennes 1 (IRMAR), Séminaire de géométrie algébrique, Rennes, France. (06/07)

 
 

"Rational Points on del Pezzo surfaces of degree 1 and root numbers of elliptic curves." Boston University Algebra Seminar, Boston, MA. (10/07)

 
Supervised Theses & Dissertations
 Nikita Kozin, Ph. D. Toric fibrations and models of universal torsors. (2015) (Thesis Committee Member)

 José Darío Bastidas Olaya, MA Cox Rings of Big, Nef, and Effective surfaces. (2015) (Thesis Committee Member)

 Natalie Durgin, Ph. D. Geometric Invariant Theory quotient of the Hilbert scheme of six points on the projective plane. (2015) (Thesis Committee Member)

 Jennifer Berg, Ph. D. Obstructions to the integral Hasse principle for generalized affine Chatelet surfaces. (2016) (Thesis Committee Member)

 Derek Allums, Ph. D. Notes on Real Rationally Connected Varieties and Fano Threefolds of Genus 12. (2016) (Thesis Committee Member)

 Dino Festi, Ph. D. Topics in the arithmetic of del Pezzo and K3 surfaces. (2016) (Thesis Committee Member)

 Masahiro Nakahara, Ph. D. To be determined. (2018) (Thesis Director)

 Alexis Johnson, Ph. D. To be determined. (2018) (Thesis Director)

 Jack Petok, Ph. D. To be determined. (2020) (Thesis Director)

Awards, Prizes, & Fellowships
 George R. Brown Award for Superior Teaching, Rice University (03/2016)

 NSF Faculty Early Career Development (CAREER) Award, National Science Foundation (07/01/2014)

 Sophia Meyer Farb Prize for Teaching, Phi Beta Kappa, Rice University (5/10/13)

 Nikki Kose Memorial Teaching Prize, Department of Mathematics, UC Berkeley (5/21/09)

 Outstanding Graduate Student Instructor Award, UC Berkeley (05/07)

 Herman Peries Prize, Emmanuel College, Cambridge University (07/04)

 John Harvard Scholarship, Harvard University (05/00-05/03)

 Herchel Smith Fellowship for study at Cambridge University, Harvard University (4/03)

 Phi Beta Kappa, Harvard University (05/03)

Positions Held
 Marie Curie Early-stage Researcher, Université de Rennes 1, IRMAR. (2007 - 2007)

 Academic Guest, Centre Interfacultaire Bernoulli, EPFL (Switzerland). (2012 - 2012)

 Researcher, École Polytechnique Fédérale de Lausanne. (2012 - 2012)