Curriculum Vitae

Sinai Robins

Education

1991, Ph.D. in Mathematics, UCLA

1987, M.S. in Mathematics, UCLA.

1986, B.A. in Mathematics, with highest honors, UCLA.

Research Interests

Discrete and Computational Geometry, Harmonic Analysis and Combinatorial Geometry, Modular Forms, Number Theory.

Books

1.   M. Beck and S. Robins, Computing the continuous discretely:  integer-point enumeration in polyhedra, Springer Undergraduate Texts in Mathematics, 2015, 2'nd Edition,           ISBN 0-387- 291139-3. (Translated by Springer into German and Japanese editions)

2.  S. Robins,  Fourier analysis on polytopes, and the geometry of numbers, part I: a friendly introduction, published in 2024, by the American Mathematical Society book series "the student mathematical library":  https://bookstore.ams.org/view?ProductCode=STML/107

A preliminary arxive version may be found here:  https://arxiv.org/abs/2104.06407

Academic Career

• • 2016-present, Full Professor at the University of Sao Paulo. 

  • 2015-2017, Deputy Director of ICERM, at Brown University

  • 2014-2015  Distinguished Visiting Professor of Mathematics, Brown University.

  • 2008 - 2015, Tenured Associate Professor, Nanyang Technological University.

  • 2013 April to December, Research visitor at CNRS/LAAS, Toulouse, France.

  • 2011, March-June, Research visitor, the Alfred Renyi Research Institute, Budapest, Hungary.

  • 2008 - present, Adjunct Professor, Newcastle University, Australia.

  • 2000-2007 Tenured Associate Professor, Temple University.

  • 2000-01 Technion, Research visitor, sabbatical year at the Israel Institute of Technology, Dept. of Industrial Engineering, research and teaching in Combinatorial optimization and Operations Research dept.

  • 2000, Research Consultant, Communications Research, Institute for Defense Analysis (IDA), La Jolla.

  • 1997-2000, Assistant Professor, Temple University.

  • 1998 Research Consultant, Communications Research, Institute for Defense Analysis (IDA), La-Jolla.

  • 1996-97 Postdoctoral Fellow, Mathematical Sciences Research Institute, affiliated with UC Berkeley.

  • 1995-98  NationalScienceFoundation (NSF) Postdoctoral fellowship,visiting Professor, UCSD.

  • 1991-95 Tenured in 1995, University of Northern Colorado, promoted to Associate Professor in 1995.

  • 1986-91 Sloan Fellow, a dissertation award from the Sloan Foundation.

  • 1986-90 UCLA Chancellors Fellow, the highest fellowship awarded to graduate students at UCLA.

  • 1985-86 Electrical Engineer, Hughes Aircraft in El-Segundo, Electro-Optical and Data- Systems group, conducting research in infrared optical recognition.

Publications:

See the Research page:  https://sites.google.com/site/sinairobins/research?authuser=0

Undergraduate Publications and informal articles

• • S. Robins,  The Rotating Coin Puzzle, the UCLA undergraduate Science Journal, 1986.

  • S. Robins,  The Zen of Mathematics, the Mirror newspaper, UNC, December of 1991, University of Northern Colorado.

Editorial Work

• • The Ramanujan Journal, Editor, 2012-present.

  • Founding and managing editor of OJAC, the Online Journal of Analytic Combinatorics, 2005- present. This journal is freely available at

    • http://www.math.rochester.edu/ojac/  (I have founded this journal together with Alex Iosevich and Izabella Laba, in 2005).

Grants and Awards

• • 2014-2015  Distinguished Visiting Professor of Mathematics, Brown University, Dept. of Mathematics.

  • 2012-2015, Tier-2 grant, Singapore Ministry of Education, (US $586,000).

  • Nov. 2013 - Jan. 2014, IMS (Institute of Mathematical Sciences) joint grant to run a 3-month

    • program on inverse moment problems, Singapore, (US $130,000).

  • 2012, October, London Mathematical Society visiting researcher grant to UCL, Oxford, Cambridge.

  • 2008-2011, SUG grant from NTU, Singapore, (US$45,000).

  • 2007, AIM, American Institute of Mathematics, funded week-long workshop on convexity and

    • Fourier Analysis, Palo Alto, California.

  • 2005, MSRI / BIRS award to teach summer course, joint with Matthias Beck, in Banff, Canada.

  • 2000-03 NSA, Young Investigator award $91,500.

  • 1998 - Summer Research Stipend, Temple University, $4,500.

  • 1996 Postdoctoral Fellowship award, Mathematical Sciences Research Institute, $22,000.

  • 1995 NSF (National Science Foundation) Postdoctoral Fellowship award $89,000.

  • 1995 NSF(National Science Foundation) grant awarded, $105,000.

  • 1990 - Sloan Foundation Dissertation Fellowship award, $14,700.

  • 1986 - UCLA Chancellors Fellowship, the highest fellowship bestowed upon a graduate student at UCLA.

  • 1986 - Phi-Beta-Kappa, UCLA

  • 1986 - UCLA Sherwood prize in Mathematics for undergraduates, $300.

Teaching, some selected courses

• • NTU, Singapore, 2014, Semester 2:  Topics in applied and discrete mathematics, an undergraduate/graduate seminar.

  • NTU, Singapore, 2012, Semester 1: It’s a discreetly discrete world (and also in 2011, Semester 1; also in 2010, Semester 1).

  • NTU, Singapore, 2010, Semester 2: Discrete Methods, a graduate course, MAS 711.

  • NTU, Singapore, 2009, Semester 1: Real Analysis I, MAS 311.

  • NTU, Singapore, 2009, semester 2: Topics in number theory III: discrete geometry and number theory, MAS 742.

  • NTU, Singapore, 2008, semester 1: Graph Theory, MAS 324.

  • NTU, Singapore, 2008, Semester 2: Discrete Mathematics with Elementary Number Theory,

    • MAS 214, Nanyang Technological University (158 students).

  • 2005: MSRI / BIRS award to teach a two-week summer course in Banff, Canada, with Matthias Beck (40 graduate students took the course).

  • Temple, Number Theory (Ph.d. level), Differential Equations

  • Temple, Combinatorial geometry, from my book with Matt Beck: “Computing the Continuous

    • Discretely”, Springer UTM series, 2006.

  • Temple, Number Theory (undergraduate), Cryptography and information theory for IST majors (undergraduate)

  • Temple, Discrete Geometry, combinatorial topology/knots.

  • Temple, Calculus I, II, III, Analysis.

  • Temple, Analytic Number Theory, Algebraic Number Theory

  • Temple, For All Practical Purposes (FAPP for non-majors).

  • UCSD: Calculus for the Life Sciences I, II, III, Spring of 1995-96.

  • UNC: Calculus I, II, III, Abstract Algebra (Masters level), Analytic number theory.

  • UNC: Math for Elementary School Teachers.

  • UNC: History of Mathematics.

  • UNC: Real Variables I, II, Math for the Liberal Arts, Linear Algebra.

  • UNC: Seminar in Number Theory, Topics in Finite Mathematics, Seminar on Mathematical Discovery using Polya's books.

Postdocs

Romanos Malikiosis, NTU, Singapore, 2012-2014

Ph.D. Students

• • Matthias Beck, Temple University, Ph.D. in 2000:  Arithmetic properties of rational polytopes.

  • David DeSario, Temple University, Ph.D. in 2007:  Polyhedral theta functions and their applications to combinatorial geometry.

  • Wang Xinli, NTU, Singapore, Ph.D. in 2012, cosupervised with prof. Chee,  Discrete-geometric functions associated to polyhedral cones and point sets.

  • Fabricio Caluza Machado, University of Sao Paulo,  Ph.D. in 2021:  Applications of harmonic analysis to discrete geometry

  • Michel Faleiros, University of Sao Paulo, current.

Undergraduate Thesis Students

Czarina Ann Marifosque, NTU, 2008

Nhat Le Quang, NTU, 2009

Stephanie Gabriela, NTU, 2009

Danh Nguyen Luu, NTU, 2011

Yichi Zhang, NTU, 2012-2013

André Rosenbaum, USP, current.

Caio Simon de Oliveira, USP, current. 

Master’s Students

Ana Carolina Laurini Malera, current at USP.

Tiago Royer, University of Sao Paulo, 2018.    

Gervasio Santos,  University of Sao Paulo, 2018.

Pan Ying, Master’s from NTU, Singapore, 2013.

Yudistira Mulyadi, Master’s from NTU, Singapore, 2012.

Jessica Cuomo, Master’s student, Temple, “Laplacians of some planar graphs and their eigenvalues”, 2006.

Neal Weikel, Master’s student, Temple, “Linear programming and its applications to the real estate market”, 2006.

Wayne Haga, Masters student, UNC, 1996.

David Auter, Masters student, UNC, 1996. 

Matt Isom, Masters student, UNC, 1995.

PatrickWahl, Masters student, UNC, 1994.

Service for the Division of Mathematical Sciences, NTU, Singapore

• • Speaker for the 3’rd Mathematics Workshops for the Malaysian Teachers, March 2014.

  • NTU Mathematics competition grader, NTU, April 2014.

  • Chair of the Final Year Project committee, 2009-2012.

  • Chair of the outreach committee, 2010-2012.

  • Executive committee of the Division of Mathematical Sciences, NTU, 2008-present.

  • Hiring committee, NTU, 2008, and 2011-2013.

  • Committee on promotion and tenure, 2009-present.

  • Coordinator of the SM bridging program with China, 2009-present.

  • Chair of the Academic Committee, including curriculum reform and undergraduate teaching matters, 2008.

  • Mentor (FYP supervisor) for the Final Year Projects of 5 students, 2008-2012.

  • The outreach committee for SPMS, member during 2008, the school of Physical and Mathe-

    • matical Sciences.

  • Judge for the Singapore High School Mathematics Competition, 2008, 2010, 2012.

  • Executive committee of the Singapore International Mathematical Modelling Competition, April of 2008.

  • Supervised and travelled with our NTU Mathematics Competition team to the IMC (Inter- national Mathematics Competition), Bulgaria, 2008.

  • Organizing committee member for the grand opening of SPMS, conference title: Advances in Mathematics, July 20-22, 2009.

  • Interviewer of applications for the Lee Kuan Yew Postdoctoral Fellowships, NTU, 2009.

Service to the Mathematical Community

• Faculty leader for the Summer@ICERM 2014 program, ICERM (Institute for Computational and Experimental Research in Mathematics), Providence, RI, June 16 - Aug 8, 2014. icerm.brown.edu/summerug2014/

• Co-chair of the IMS program on inverse moment problems, Institute of Mathematical Sciences, Singapore, Nov. 18 2013–Jan. 25 2014. For more information on our 3-month program in Singapore, please see:  http://www2.ims.nus.edu.sg/Programs/014inverse/index.php#Organizers

• Founding and Managing Editor for the Online Journal of Analytic Combinatorics. for more information, see:  

•     http://www.math.rochester.edu/ojac/  This journal is open-source, free of charge, rigorously refereed, and continuously online.

• Organized (the local organizer) the Marvin Fest, in honor of Marvin Knopp’s 73’rd birthday, Philadelphia, PA, Jan. 2006.

• Co-organized, with Matthias Beck, an MSRI / BIRS summer course for 40 graduate students, at Banff, Canada, August of 2005.

• NSF panel of judges for the 2008 NSF grants in the area of Combinatorics and Discrete Mathematics, August 2007, Washington D.C.

• Founder and organizer of the Discrete Mathematics Seminar, at Temple University, Fall of 2006.

• Mentored and Supervised Ph.D. and Masters students at University of Northern Colorado: Matt Isom, Patrick Wahl, Wayne Haga.

• Mentored and Supervised Ph.D. and Masters students at Temple Univ: Matthias Beck, David DeSario, Jessica Cuomo, Neal Weikel.

• Mentored Undergraduate students with Undergraduate Research Projects, in the fields of combinatorics and number theory.

• Founded the Society for Undergraduate Mathematics (the SUM) at Temple University, 1999.

• Putnam exam facilitator and coach, several years at Temple University.

• Writer for the Temple Undergraduate Mathematics Monthly.

• Served on hiring committees, graduate committees, undergraduate committees, the senate, the colloquium committee, and various other departmental and university-wide committees.

• Taught and initiated about 70 undergraduate and graduate courses in Mathematics, in- cluding Discrete Mathematics, Combinatorics, Number theory, Differential Equations, Fourier Analysis, Linear Algebra, Algebra (groups, rings, fields, modules), Real and Complex Anal- ysis.

• Reviewer for Mathematical Reviews.

• Referee for numerous journals, including Journal fur die reine und angewandte Mathematik, Inventiones, Transactions of the AMS, Journal of Combinatorial Theory Series A, Bulletin of the London Math Society, Advances in Applied Mathematics, American Mathe- matical Monthly, Discrete & Computational Geometry, Electronic Journal of Combinatorics, Online Journal of Analytic Combinatorics, Experimental Mathematics, Journal of Number Theory, Mathematische Annalen, and in general refereed an uncountable number of papers.

Selected Invited Talks

Combinatorics seminar, MIT, translational tiling by convex objects, 2015. 

Combinatorics seminar, Princeton University, Translational tilings and multi-tilings by convex polytopes, 2015. 

Invited Colloquium, Tulane University, Multi-tiling Euclidean space by using translated polytopes, New Orleans, 2015.

Invited Combinatorics seminar speaker, University of Rochester, Translations of convex bodies and multi-tilings, 2015.

Number theory seminar, Amherst College, Cone theta functions, and rationality of spherical volumes, 2015.

Invited Colloquium, Claremont McKenna College, translational tilings, 2015.

Invited Colloquium, University of Florida, Cone theta functions and rationality of spherical volumes, 2015.

Combinatorics seminar, Yale University, Cone theta functions, 2014. 

Number Theory seminar, Brown University, More details on the cone theta functions and rationality of spherical volumes, 2014. 

Invited Colloquium speaker, Brown University, Cone theta functions and what they tell us about the rationality of spherical volumes, 2014. 

Geometry and Topology seminar, Brown University, Multiply tiling Euclidean space by translations of a convex polytope, 2014.

Invited Plenary speaker, The Erwin Schrodinger Mathematical Physics Institute, workshop on "Minimal energy point sets, lattices and designs",  Cone theta functions and rationality of volumes of spherical polytopes, 2014. 

Invited speaker for the ICERM research program “Challenges in 21st Century Experimental Mathematical Computation”,  Providence, RI, July 2014.

Invited Colloquium speaker, Queensland, Australia, Multiple Tilings of Euclidean space by translations of a convex polytope, 2014.

Invited speaker for the seminar Caesar de combinatoire additive, the Ecole Polytechnique, Paris, Multiple Tilings of Euclidean space by translations of a convex body, November 2013.

Invited seminar speaker at TU Berlin, Berlin, Germany, Multiply tiling Euclidean space by translating a convex object, November 2013.

Invited Colloquium speaker at Magdeburg University, Magdeburg, Germany, Multiply tiling Euclidean space by translating a convex object, November 2013.

Invited speaker at Luminy, France, GeoLMI 2013 - Conference on Geometry and Algebra of Linear Matrix Inequalities, in honor of Jean Bernard Lasserre’s 60th birthday, Centre International de Rencontres Mathematiques (CIRM), University of Marseille, A Fourier approach to the Brion identities, November 2013.

Invited seminar speaker at the University of Western Australia, Perth, Multiple Tilings of Euclidean space by translations of a convex body, October 2013.

Invited Number Theory special session speaker at the 57’th annual meeting of the Australian Mathematical Society, Sydney, Tiling the integer lattice with translated integer sublattices, October 2013.

Invited speaker at the ‘Down under number theory workshop’, Newcastle, Australia, Multiple tilings of Euclidean space by translations of a convex polytope, October 2013.

Invited speaker at the Fourier workshop, Budapest, Tiling the integer lattice with translated integer sublattices, September 2013.

Invited Number Theory seminar speaker at Universite de Bordeaux, Bordeaux, France, Cone theta functions and what they tell us about irrational volumes of spherical polytopes, June 2013.

Invited Colloquium speaker at Paul Sebatier Universite, Toulouse, France, Translational tilings by a convex polytope, a combinatorial and Harmonic analysis perspective, May 2013.

Invited Combinatorics Seminar speaker, at Oxford University, (awarded a London Mathematical Society visiting grant), Multiple tilings by a convex body, October 2012.

Invited Combinatorics Seminar speaker at Cambridge University, (awarded a London Mathematical Society visiting grant), Multiple tilings by a convex body, October 2012.

Invited Colloquium speaker, at University College London (awarded a London Mathematical Society visiting grant), Multiple tilings by a convex body, October 2012.

Plenary speaker for the Mathematical Society of the Philippines, Annual Convention, Tilings by translations of a convex body, with multiplicity, Lipa City, The Philippines, 2012.

Invited speaker for the International Number Theory Conference in memory of Alf Van der Poorten, Conic theta functions and their relations to classical theta functions, Newcastle University, Australia, 2012.

Colloquium speaker, Multiple tilings of Euclidean space by translations of a convex body, University of Queensland, Australia, 2012.

Colloquium speaker, Tiling Euclidean space by translations of a convex polytope, Hong Kong University of Science and Technology, Hong Kong, 2012.

Invited speaker, NTU-Tsinghua workshop in Beijing, 2012.

Invited seminar speaker, University of Auckland Translational tilings of a convex body, with multiplicity, New Zealand, 2011.

Seminar speaker, Some integer lattice extensions of Erdos’ classic problem of tiling the integers by arithmetic progressions, Renyi Institute of Mathematics, Budapest, Hungary, 2011.

Workshop on Mathematical Crystallography, Translational tilings of a convex body, with multiplicity, Manila, the Philippines, 2011.

Clifford Invited Lecturer, Towards an Ehrhart theory for real polytopes, Tulane University, March 2010.

Invited AMS special session speaker at San Francisco State University, AMS special session Algebra & Number Theory with Polyhedra, lecture title: Tiling lattices with sublattices, April 25, 2009.

Invited number theory seminar speaker, Hecke operators on Hypergeometric functions, National University of Singapore, 2009.

Invited speaker, The mathematical interests of Peter Borwein, New measures of discrete volumes for polytopes whose vertices have arbitrary real coordinates, The IRMACS Centre, Simon Fraser University Burnaby, British Columbia, Canada, May 12-16, 2008.

Number Theory seminar speaker, Theta functions for cones and relations between solid angles for polytopes, Stanford University, 2007.

Colloquium speaker, Computing solid angles and discrete volumes of polytopes, Tulane university, October 2007.

Invited AMS special session speaker in the Combinatorial Enumeration, Optimization, Geometry, and Statistics session, A Solid angle theory for real polytopes, Tennessee, November 3-4, 2007.

Invited AMS special session speaker in the Experimental Mathematics session, Extending the solid angle relations of polytopes, National AMS meetings, Jan 2007, New Orleans, Louisiana.

Invited Google Tech Talk, The Bay Area Discrete Math Day XII, April 15, 2006, Integer Linear Programming, a new approach

Invited AMS special session speaker, Polyhedral theta functions, Algebraic and Analytic Combinatorics session, AMS Fall Eastern Meeting, University of Connecticut, Oct 2006.

Discrete Mathematics Day speaker, A new approach to Integer linear programming, SUNY, Binghamton, May 6, 2006.

Colloquium speaker, Integer linear programming using Differentiable Dedekind sums, University of Florida, Feb, 2006.

Integer Linear Programming Via Analytic Number Theoretic Functions Called Differentiable Dedekind Sums, Conference on Modular Forms and Related Topics in Honor of Marvin Knopp’s 73rd Birthday, Jan 2006.

Colloquium, Differentiable Dedekind Sums in Integer Linear Programming, CalPoly, 2005. Clifford Invited Lecturer, A different approach to integer linear programming, using Dedekind-like sums, Tulane University, March 31st - April 2nd, 2005.

Invited speaker for The Euroconference on algebraic and geometric combinatorics, Univ. of Crete, 2005.

Invited speaker for The Combinatorial and Additive Number Theory (CANT 2005) conference, CUNY, the graduate center.

Colloquium, Traditional Dedekind sums and new polynomial Dedekind sums for weighted lattice point enumeration in polytopes, University of Maryland, 2004.

Invited speaker for the Workshop on analytic and computational number theory, Dalhousie Uni- versity, Halifax, Nova Scotia, Canada, 2004.

Invited speaker for the University of Michigan combinatorics seminar, Solid angles, and theta functions on polytopes, 2003.

Invited speaker for the Integer Points Conference, A decomposition of quaipolynomials into eigenspaces of Hecke operators, Utah, summer of 2003.

Colloquium: Zeta functions for polyhedral cones in Rn, functional equations, and analytic extended Lipschitz summation formulas for cones, Brown University, 2003.

Hecke operators on rational functions, IDA (Institute for Defense Analysis) Colloquium, Princeton, New Jersey, 2003.

Invited speaker for The Pacific Institute for Mathematical Sciences, SFU, Canada, Texture Maps In Image Processing And Their Links To Analytic Number Theory And Combinatorial Geometry.

Solid angles of polytopes and solid angle polynomials attached to polytopes, seminar in Discrete and Computational Geometry, Courant Institute, 2002.

Colloquium: Zeta functions for polyhedral cones in Rn have a functional equation, Tulane.

An extension of the Hurwitz zeta function for polyhedral cones in Rn, Number theory seminar, University of California, Santa Barbara, 2002.

An extension of the Hurwitz zeta function for polyhedral cones in Rn, Number theory seminar, University of California, San Diego, 2002.

Zeta functions for cones, University of California, Santa Cruz, number theory seminar, 2002.

The Frobenius coin exchange problem: a blend of combinatorics, number theory, and Fourier analysis. The first joint American Mathematical Society and French Math Society meetings, France, invited special session speaker, 2001.

The Frobenius coin exchange problem, rational polytopes, and Fourier-Dedekind sums, AMS invited special session speaker, Sectional conference in Providence, Rhode Island, 1999.

A simple proof of Riemann’s functional equation for the zeta function. AMS invited special session speaker, University of Florida, 1999.

The Ehrhart Polynomial of a Lattice Polytope, MSRI conference in combinatorial geometry. Februray 13, 1997, Berkeley, CA.

The Ehrhart Polynomial of a Lattice Polytope, The Joint AMS Meeting, January 12, 1996, Orlando, Florida.

Personal Information

Citizenship: US

Fastest email response: sinai dot robins at gmail.com

Personal skills: high-level communication skills , grant-writing skills, motivational skills, student mentoring skills, and the ability to work and collaborate very well with colleagues.

Languages: Fluent in English and Hebrew, with a reading knowledge of French and Spanish.

Hobbies

I enjoy classical piano playing, creative writing, hiking, latin dancing, running, rollerblading, weight lifting, sketching and oil painting, and traversing the globe.  Finally, I love doing mathematics with my friends at the local coffee house.