CEZAR LUPU [email protected]

Personal Data

Address (Office): 301 Thackeray Hall, University of Pittsburgh, Pittsburgh, PA-15260, USA Phone: +1 412 2738431 (US), +40726 350 530 (RO) Citizenship: Romanian & United States F1 Visa status Place of Birth: Constanta, Romania E-mail: [email protected], [email protected] Professional network: LinkedIn, Google Scholar, MathSciNet Professional & Teaching Experience

Aug 2015-Present Research & Teaching Fellow, University of Pittsburgh, Pittsburgh, PA, USA, Department of Mathematics Winner of the 2016 Elizabeth Baranger Excellence in Teaching Award Pitt Team ranked 24th nationally in the 2015 Putnam Competition

Jun-Jul 2017 Academic Instructor, Mathematical Association of America, host: Carnegie Mellon University, Pittsburgh, PA, USA Mathematical Olympiad Summer Program USA #4 at the IMO

Jun-Jul 2016 Academic Instructor, Mathematical Association of America, host: Carnegie Mellon University, Pittsburgh, PA, USA Mathematical Olympiad Summer Program USA #1 for the second consecutive time at the IMO

Jun-Jul 2015 Academic Instructor, Mathematical Association of America, host: Carnegie Mellon University, Pittsburgh, PA, USA Mathematical Olympiad Summer Program USA #1 for the first time in 21 years at the IMO

Aug 2012-May 2015 Research/Teaching Assistant, University of Pittsburgh, Pittsburgh, PA, USA Department of Mathematics

Oct 2010-Dec 2011 Teaching Assistant, Politehnica University of Bucharest, Bucharest, Ro- mania Department of Mathematical Methods and Models

Feb 2010-Jun 2010 Visiting Ph.D. Student Researcher, Central European University (CEU), Budapest, Hungary Department of Mathematics and its Applications

Oct 2009-Feb 2010 Teaching Assistant, Politehnica University of Bucharest, Bucharest, Ro- mania Department of Mathematical Methods and Models Sep-Nov 2008 High School Teacher, International Computer High School of Bucharest, Bucharest, Romania Department of Mathematics

General Research Interests

Real Analysis real functions, generalized derivatives, mean-value theorems, convexity, functional and probabilistic inequalities Geometric Analysis Sobolev spaces, fine properties of measurable functions Functional and Nonlinear Analysis geometry of function spaces, linear and nonlinear operators, operator inequalities, variational and hemivariational inequalities, topological methods and degree theory Nonlinear PDEs spectral theory for nonlinear operators, calculus of variations semilinear and quasilinear elliptic equations Harmonic Analysis Fourier series and integrals, maximal functions, singular and oscillatory integrals, Littlewood-Paley theory Linear Algebra positive-definite matrices, matrix equations and inequalities Analytic Number Theory arithmetic functions, distribution of primes, Riemann zeta and L-functions, multiple zeta values Mathematics Education problem solving, history of mathematics

Education

Aug 2012- Present Ph.D. Program in Mathematics, University of Pittsburgh, Pittsburgh, Pennsylvania, USA Thesis: Analytic Aspects of the Riemann Zeta and Multiple Zeta Values I completed my overview on October 26, 2017 and I expect to defend in June, 2018 Advisors: Dr. Piotr Hajlasz and Emeritus William C. Troy Committee: Dr. Thomas Hales (U. Pittsburgh), Dr. Camil Muscalu (Cornell U.), Dr. George Sparling (U. Pittsburgh) Jan 2012-Dec 2014 Masters of Arts of Mathematics, University of Pittsburgh, Pittsburgh, Pennsylvania, USA Oct 2008-Dec 2011 Ph.D. Program in Mathematics (Nonlinear Analysis & PDEs), University of Craiova, Craiova, Romania Thesis: Qualitative Analysis of Some Classes of Nonlinear Problems This thesis was approved by the committee for public defense on March 14, 2014 Advisor: Dr. Vicentiu Radulescu Committee: President: Dr. Dumitru Busneag (U. Craiova), Members: Dr. Sorin Micu (U. Craiova), Dr. Marius Radulescu (IMSA), Dr. Victor Tigoiu (U. Bucharest) Oct 2008-Jun 2010 Master Degree in Algebra and Number Theory, University of Bucharest Bucharest, Romania Thesis: Landau and Hardy-Littlewood type inequalities for the prime counting function π(x) (in Romanian) Advisor: Dr. Alexandru Gica Oct 2004-Jun 2008 Bachelor Degree in Mathematics and Computer Science, University of Bucharest, Bucharest, Romania Thesis: Topological Degree for Condensing Maps (in Romanian) Advisor: Dr. George Dinca Publications (https://lupucezar.wordpress.com/publications/)

Research Papers 7 papers published in journals such as Electronic Journal of Differential Equations, Advances in Pure and Applied Mathematics, Mathematical Inequalities and Applications, Journal of Optimization Theory and Applications Applied Mathematics and Computation

Elementary & Expository Papers 12 papers published in journals such as Crux Mathematicorum, Gazeta Matematica (A-series), Mathematical Reflections Mathematical Gazette American Mathematical Monthly Elemente der Mathematik

Proposed Problems in Journals more than 70 problems published in journals such as American Mathematical Monthly, College Mathematics Journal, Mathematics Magazine, Electronic Journal of Differential Equations, Gazeta Matematica (A-series),

Papers and preprints

1. C. Lupu, Geodesics in the Heisenberg group revisited and the isoperimetric deficit for curves in R2n, in preparation 2. C. Lupu, D. Orr, A note on some rational zeta series representations of Glasser type for Apery and Catalan constants, in preparation 3. C. Lupu, Another look at the evaluation of some multiple zeta and special Hurwitz zeta values, in progress 4. C. Lupu, D. Orr, Approximations of Apery’s constant ζ(3) and rational series representations involving ζ(2n), submitted. 5. C. Lupu, D. Schwarz, Another look at some new Cauchy–Schwarz type inner product inequalities, Applied Mathematics and Computation, 231 (2014), 463–-477. 6. C. Lupu, Mean value problems of Flett type for a Volterra operator, Electronic Journal of Differential Equations, 2013 (2013), No. 53, 1–7. 7. N. Costea, D. Ion, C. Lupu, Variational-like inequality problems involving set-valued maps and generalized monotonicity, Journal of Optimization Theory and Applications, 155 (2012), 79– 99. 8. C. Lupu, V. Matei, Arithmetic functions, prime counting function and polynomials, Math- ematical Inequalities and Applications, 15 (2012), 549–558. 9. N. Costea, C. Lupu, On a class of variational-hemivariational inequalities involving set valued mappings, Advances in Pure and Applied Mathematics, 1 (2010), 233–246. 10. C. Lupu, T. Lupu, Mean value theorems for some linear integral operators, Electronic Jour- nal of Differential Equations, 2009 (2009), No. 117, 1–15. Conferences, Workshops, Summer Schools

Jan 2018 Joint Mathematics Meeting of the American Mathematical Society and Mathematical Association of America, San Diego, CA, USA Conference organized by the American Mathematical Society and Mathematical Association of America Nov 2017 AMS-Western Sectional Meeting, Riverside, CA, USA Conference organized by the University of California Riverside-Department of Mathematics Oct 2017 Northeastern Analysis Meeting-NEAM’2, Albany, NY, USA Conference organized by the SUNY-University at Albany Sep 2017 Joint International Meeting of the German Mathematical Society and the Romanian Mathematical Society, Constanta, Romania Conference organized by the Romanian Mathematical Society in partenership with the Simion Stoilow Institute of Mathematics of the Romanian Academy Jun 2017 The 3rd Annual Graduate Student Conference in Algebra, Geometry and Topology, Philadelphia, PA, USA Conference organized by Temple University-Department of Mathematics May 2017 7th Upstate New York Number Theory Conference, Binghamton, NY, USA Conference organized by the SUNY-University at Binghamton-Department of Mathmatics Mar 2017 The 33rd Southeastern Analysis Meeting-SEAM’17, Knoxville, TN, USA Conference organized by the University of Tennessee Knoxville-Department of Mathematics Mar 2017 Analysis on Metric Spaces Conference, Pittsburgh, PA, USA Conference organized by the The Math Research Center (MRC) at the University of Pittsburgh Jan 2017 The 2017 AMS & MAA Joint Mathematics Meeting, Atlanta, GA, USA Conference organized by the American Mathematical Society and Mathematical Association of America Oct 2016 NEAM-1st Northeastern Analysis Meeting, Brockport, NY, USA Conference organized by the National Science Foundation and SUNY-College at Brockport Mar 2015 PDEs and Free Boundary Problems, Pittsburgh, PA, USA Conference organized by the Mathematics Research Center of the University of Pittsburgh Jul 2012 Calculus of Variations and PDEs, Szczawnica, Poland Conference organized by Institute of Mathematics of the Polish Academy of Sciences May 2012 Workshop for Young Researchers in Mathematics, Constanta, Romania Conference organized by IMAR and Ovidius University of Constanta Aug 2010 Scuola Matematica Interuniversitaria in PDEs, Cortona, Italy Summer School sponsored by the Scuola Normale Superiore di Pisa Jul 2010 Optimal Control and PDEs, Cortona, Italy Summer School sponsored by the Scuola Normale Superiore di Pisa Jun 2010 Variable Exponent Analysis Conference, Oulu, Finland Conference organized by Oulu University Oct 2008 The XII-th Conference of the Romanian Mathematical Society, Bacau, Romania Conference organized by Romanian Mathematical Society and University of Bacau Jul 2008 The 22-nd Conference on Operator Theory, Timisoara, Romania Conference organized by West University of Timisoara Jul 2007 Characteristic p-methods in Algebraic Geometry, Drobeta-Turnu Severin, Romania Summer School organized by the Romanian Mathematical Society Jul 2007 Critical Point Theory and its Applications, Cluj-Napoca, Romania Conference organized by the Babes-Bolyai University Jun-Jul 2007 The 6-th Congress of the Romanian Mathematicians, Bucharest, Romania Conference organized by Romanian Mathematical Society and University of Bucharest Talks

Jan 2018 Analytic aspects in the evaluation of multiple zeta values and multiple Hurwitz zeta values Analysis Seminar, Cornell University, Ithaca, NY, USA Jan 2018 Multiple zeta values: analytic and combinatorial aspects Algorithms, Combinatorics and Optimization Seminar, Carnegie Mellon University, Pittsburgh, PA, USA Jan 2018 Another look at Zagier’s formula for multiple zeta values involving 2’s and 3’s Contributed Talk at Number Theory I: Joint Mathematics Meeting of AMS & MAA, San Diego, CA, USA Dec 2017 Analytic aspects in the evaluation of multiple zeta and Hurwitz zeta values Analysis Seminar, University of South Florida, Tampa, FL, USA Dec 2017 Riemann zeta and multiple zeta values Colloquia, University of South Florida, Tampa, FL, USA Nov 2017 Clausen function and a dilogarithmic integral arising in quantum field theory Algebra, Geometry and Topology Seminar, University of Pittsburgh, Pittsburgh, PA, USA Nov 2017 Analytic aspects in the evaluation of multiple zeta and multiple Hurwitz zeta values Algebra & Number Theory Seminar, Texas Tech University, Lubbock, TX, USA Nov 2017 Analytic aspects in the evalution of the multiple zeta and multiple Hurwitz zeta values Number Theory Seminar, University of California Irvine, Irvine, CA, USA Nov 2017 How to discover and train talented undergraduate students for the Putnam competition AMS Sectional Meeting, University of California Riverside, Riverside, CA, USA Oct 2017 Another look at Zagier’s formula for multiple zeta values involving 2’s and 3’s Analysis, Geometry & Topology Seminar, University of Pittsburgh, Pittsburgh, PA USA Oct 2017 Euler’s Zeta and Double Zeta Values and Other Rational Zeta Series Representations Undergraduate Mathematics Seminar, University of Pittsburgh, Pittsburgh, PA, USA Oct 2017 Analytic aspects in the evaluation of multiple zeta values and multiple Hurwitz zeta values The 2017 Northeastern Analysis Meeting-NEAM’2, SUNY-University at Albany, Albany, NY, USA Sep 2017 Analytic aspects in the evaluation of multiple zeta values and multiple Hurwitz zeta values ”Nicolae Popescu” Number Theory Seminar, Simion Stoilow Institute of Mathematics of the Romanian Academy, Bucharest, Romania Sep 2017 An invitation to the Putnam seminar Undergraduate Mathematics Seminar, University of Pittsburgh, Pittsburgh, USA Sep 2017 The Riemann zeta function: Analytic continuation and the functional equation Algebra, Combinatorics, and Geometry Graduate Student Research Seminar, University of Pittsburgh, Pittsburgh, PA, USA Jun 2017 Euler’s formula for Apery’s constant ζ(3) Mathematical Olympiad Summer Program, Carnegie Mellon University, Pittsburgh, PA, USA Jun 2017 Analytic aspects in the evaluation of some multiple zeta values and multiple Hurwitz zeta values The 3rd Annual Graduate Student Conference in Algebra, Geometry and Topology, Temple University, Philadelphia, PA, USA May 2017 Analytic aspects in the evaluation of some multiple zeta values and multiple Hurwitz zeta values 7th Upstate New York Number Theory Conference, SUNY-University at Binghamton, Binghamton, NY, USA Apr 2017 Multiple zeta values and multiple Hurwitz zeta values. Analytic and combinatorial aspects Algebra, Combinatorics and Geometry Seminar, University of Pittsburgh, Pittsburgh, PA, USA Mar 2017 Analytic aspects in the evaluation of some multiple zeta values The 33rd South Eastern Analysis Meeting-SEAM, University of Tennessee, Knoxville, TN, USA Feb 2017 How to discover and train talented undergraduate students for the Putnam competition Undergraduate Mathematics Seminar, University of Pittsburgh, Pittsburgh, PA, USA Feb 2017 The Riemann and Hurwitz zeta functions, Apery’s constant and new rational series involving ζ(2k) Algebra, Combinatorics, and Geometry Graduate Student Research Seminar, University of Pittsburgh, Pittsburgh, PA, USA Jan 2017 A simple proof of Euler’s formula for ζ(2k) and some rational series representations involving ζ(2k) Algebra, Combinatorics, and Geometry Graduate Student Research Seminar, University of Pittsburgh, Pittsburgh, PA, USA Jan 2017 The Riemann zeta function for integer values and evaluation of some multiple zeta values The 2017 AMS & MAA Joint Mathematics Meeting, Atlanta, GA, USA Oct 2016 The Riemann zeta function for integer values and evaluation of some multiple zeta values NEAM-1st Northeastern Analysis Meeting, SUNY College at Brockport, Brockport, NY, USA Jun 2016 Arcsine power series expansion and Euler’s ζ(2) Mathematical Olympiad Summer Program Seminar, Carnegie Mellon University, Pittsburgh, PA, USA Mar 2015 Rank-one convexity does not imply quasiconvexity Geometric Analysis Seminar, University of Pittsburgh, Pittsburgh, PA, USA Apr 2012 Arithmetic functions, prime counting function and polynomials Graduate Student Seminar, University of Pittsburgh, Pittsburgh, PA, USA Aug 2010 Mountain pass theorem and applications to semilinear elliptic PDEs Summer School in PDEs, Scuola Matematica Interuniversitaria, Cortona, Italy Oct 2008 Mean value problems for Volterra operators The XII-th Conference of the Romanian Mathematical Society, Bacau, Romania Jul 2007 Some remarks on an elementary inequality equivalent to Riemann hypothesis The 6th Congress of Romanian Mathematicians, Bucharest, Romania

Teaching Experience (https://lupucezar.wordpress.com/teaching/)

Aug 2012-Present University of Pittsburgh, Pittsburgh, PA, USA

Lecturer:

Putnam Seminar 1 section (Fall, 2017) Calculus 3 1 section (Summer 2016, 2017) Differential Equations 1 section (Summer 2014) College Algebra and Trigonometry 1 section (Summer 2013)

Recitation instructor:

Introduction to Theoretical Mathematics 1 section-undergraduate (Summer 2015) Advanced Calculus 2 2 sections-undergraduate and graduate (Spring 2015, 2016, 2017) Advanced Calculus 1 3 sections-undergraduate and graduate (Fall 2014, 2015, 2016) College Algebra and Trigonometry 1 section (Summer 2013) Business Calculus 3 sections (Fall 2013) Analytical Geometry and Calculus 1 5 sections (Fall 2012, Spring 2013 & 2014) Analytical Geometry and Calculus 2 2 sections (Fall 2012, Spring 2014) Analytical Geometry and Calculus 3 3 sections (Spring 2013, Fall 2016) Students’ evaluations of teaching can be provided upon request.

Oct 2009-Dec 2011 Politehnica University of Bucharest, Bucharest, Romania

Recitation instructor:

Calculus for Automatics Engineers 2 sections (Fall 2009 & 2010) Calculus for Computer Engineers 3 sections (Fall 2010 & 2011) Calculus for Electronics Engineers 3 sections (Fall 2009 & 2011) Calculus for Chemical Engineers 1 section (Fall 2011) Abstract and Linear Algebra for Automatics Engineers 1 section (Fall 2009) Differential Equations and Complex Analysis for Electronics Engineers 2 sections (Spring 2011)

Sep-Nov 2008 International Computer High School of Bucharest, Bucharest, Romania

Lecturer:

College Algebra and Trigonometry (IX-th grade) 3 sections (Fall 2008)

Service

Jan 2012- Present Referee for journals like Electronic Journal of Differential Equations, Bulletin of the Australian Mathematical Society, Rendiconti dell’Istituto di Matematica dell’Università di Trieste Nov 2013- Present Instructor for the Putnam Seminar at the University of Pittsburgh, Pittsburgh, PA, USA Pitt Team ranked 24th nationally in the 2015 Putnam Competition (best result since 2002) Oct 2009-Dec 2011 Instructor for the SEEMOUS & IMC Seminar at Politehnica University of Bucharest Sep 2009-Dec 2011 Assistant editor for the Problem column section of the Gazeta Matematica (A-series) Oct 2005-Apr 2009 Instructor for the RNMO, BMO & IMO Seminar at International Computer High School of Bucharest, Bucharest. Romania Mar 2007-Jun 2010 Instructor for the Romanian National Mathematical Team preparing for the JBMO, BMO & IMO, Bucharest. Romania

Fellowships and Awards

Apr 2016 Winner of the Elizabeth Baranger Teaching Award, University of Pittsburgh, Awarded by the GSO University of Pittsburgh Dietrich School of Arts and Sciences Feb 2015 Nominated for the Elizabeth Baranger Teaching Award, University of Pittsburgh, Awarded by the GSO University of Pittsburgh Dietrich School of Arts and Sciences May-Jul 2012 Summer Research Fellowship, University of Pittsburgh, Pittsburgh, USA Awarded by the School of Arts and Sciences from a research grant Jan-Apr 2012 Dietrich Arts & Sciences Fellowship, University of Pittsburgh, Pittsburgh, USA Awarded by the School of Arts and Sciences for 1-st year Ph D students May 2010 Grand First Prize at Traian Lalescu National Competition, Iassy, Romania Awarded by the Traian Lalescu Foundation and Romanian Mathematical Society Nov 2009 Diploma of Excellence from the Ministery of Education, Bucharest, Romania Awarded for the results obtined as a instructor for high school students with medals at IMO May 2009 Grand First Prize at Traian Lalescu National Competition, Bucharest, Romania Awarded by the Traian Lalescu Foundation and Romanian Mathematical Society Nov 2008 Diploma of Excellence from the Ministry of Education, Bucharest, Romania Awarded for the results obtained as a instructor for high school students with medals at IMO Sep 2008 Diploma of Excellence from the Romanian Government, Bucharest, Romania Awarded by the Romanian government in the program ”Excellence Week in Education” May 2008 First Prize at Traian Lalescu National Competition, Bucharest, Romania Awarded by the Traian Lalescu Foundation and Romanian Mathematical Society Jul 2006 Mention at International Mathematical Competition (IMC), Odessa, Ukraine Worlwide Putnam type competition for undergraduate students Sep 2005 Second Prize at Joszeph Wildt International Competition, Brasov, Romania Romanian Problem Solving contest for undergraduate students

Languages

Romanian: Native English: Fluent Spanish: Fluent French: Elementary Proficiency Italian: Elementary Proficiency Computer Skills

Basic Knowledge: html, Linux, Maple Advanced Knowledge: LaTeX, LaTeX Beamer, Excel, Word, PowerPoint Hobbies

Football (Soccer), Skiing, Hiking, Tennis, Motor sports, Swimming, Art, Music, Movies, Trav- eling, Chess, History, Astrophysics