Orli Herscovici

I am an Assistant Professor in the Department of Mathematics and Computer Sciences at St. John's College of Liberal Arts and Sciences. Before joining the SJU I was a (postdoctoral) Visiting Assistant Professor  in School of Mathematics at the Georgia Tech where  I was working with Prof. Galyna Livshyts.

My previous position was a postdoctoral fellow in the Department of Mathematics at the University of Haifa, where I worked with  Prof. Alek Vainshtein. Before it, I hold a postdoc position in Department of Mathematics at the Technion - Israel Insitute of technology, where I worked with Prof. Ross Pinsky. I've obtained my PhD in Mathematics from the University of Haifa in Israel under the direction of  Prof. Toufik Mansour.

Research Interests

• Convex Analysis and Geometry

• Orthogonal polynomials and their applications

• Enumerative combinatorics, q-calculus

Publications 

• O. Herscovici, T. Mansour, q-deformed conformable fractional natural transform,  Ukrainian Mathematical Journal, 74 (2022), no. 8, 1128-1145.

• O. Herscovici, J.A. Makowsky, V. Rakita, Harary polynomials, Enumerative Combinatorics and Applications, 1 (2021), no. 2, Article #S2R13, 12pp.

• O. Herscovici, T. Mansour, New degenerated polynomials arising from non-classical umbral calculus, Pu. M. A., 29 (2020), no. 1, 1--16.

• O. Herscovici, T. Mansour, Tsallis p,q-deformed Touchard polynomials and Stirling numbers, Russ. J. Math. Phys., 24 (2017), no. 1, 37--50.

• O. Herscovici, T. Mansour, The Miki-type identity for the Apostol-Bernoulli numbers, Ann. Math. Inform., 46(2016), 97--114.

• T. Kim, O. Herscovici, T. Mansour, S.-H. Rim, Differential equations for p,q-Touchard polynomials, Open. Math., 14 (2016), 908--912.

• O. Herscovici, T. Mansour, Identities involving Touchard polynomials derived from umbral calculus, Adv. Stud. Contemp. Math. (Kyungshang), 25 (2015), no. 1, 9--16.

Preprints 

• O. Herscovici, G.V. Livshyts, L. Rotem, A. Volberg, Stability and equality case in the B-theorem, preprint.

• O. Herscovici, Unified generating function for set partitions, preprint.

• O. Herscovici, G.V. Livshyts, Kohler-Jobin meets Ehrhard: the sharp lower bound for the Gaussian principal frequency while the Gaussian torsional rigidity is fixed, via rearrangements, preprint.

• O. Herscovici, A.B. Kashlak, S.Spektor, Khinchine-type inequalities for independent and dependent Poisson random variables and their applications in big data, preprint.

• O. Herscovici, Generalized permutations related to the degenerate Eulerian numbers, preprint.

• O. Herscovici, S. Spektor, The best constant in the Khinchine inequality for slightly dependent random variables, preprint.

• O. Herscovici, Study of the p,q-deformed Touchard polynomials, submitted.

• O. Herscovici, R.G. Pinsky, A combinatorial proof of an identity involving Stirling numbers of the second kind and unsigned Stirling numbers of the first kind, preprint.

• O. Herscovici, On construction of a new interpolation tool: cubic q-spline, preprint.

Conference Talks 

• December 2023 - Analysis conference, Georgia Tech, Atlanta, GA.

• November 2023 - Workshop "Harmonic Analysis and Convexity", Banff International Research Station, Banff, Canada.

• January 2023 - Joint Mathematics Meetings, Boston, MA.

• February 2022 - Workshop on Calculus of Variations in Probability and Geometry, Institute of Pure and Applied Mathematics, Los Angeles, CA.

• July 2020 - The 19th International Conference on Fibonacci Numbers and Their Applications. (On-line)

• June 2020 - 20th Haifa Workshop on Interdisciplinary Applications of Graphs, Combinatorics and Algorithms, Caesaria Rothschild Institute, University of Haifa, Israel. (On-line)

• January 2020 - Joint Mathematics Meetings, Denver, CO.

• July 2019 - 15th International Symposium on Orthogonal Polynomials, Special Functions and Applications, Research Institute for Symbolic Computation (RISC), Hagenberg, Austria.

• May 2019 - 7th Canadian Discrete and Algorithmic Mathematics Conference (CanaDAM), Simon Fraser University, Vancouver, Canada.

• January 2019 - Joint Mathematics Meetings, Baltimore, MD.

• September 2018 - The 7th Symposium on Generating Functions of Special Numbers and Polynomials and their Applications (GFSNP 2018) within ICNAAM 2018, Rhodes.

• July 2018 - Student Combinatorics Day, Bar Ilan University, Ramat Gan, Israel.

• July 2018 - The 18th International Conference on Fibonacci Numbers and Their Applications, Dalhousie University, Halifax, Canada.

Seminar Talks 

• September 2023 - Online Asymptotic Geometric Analysis Seminar, Georgia Tech.

• December 2022 - Rutgers Experimental Mathematics Seminar, Department of Mathematics, Rutgers.

• April 2022 - Analysis Seminar, School of Mathematical and Statistical Sciences, Clemson University.

• March 2022 - Analysis Seminar, Department of Mathematics, University of Rochester.

• February 2022 - Geometry and Analysis Seminar, Department of Mathematics, University of Georgia.

• January 2022 - Analysis Seminar, School of Mathematics, Georgia Tech.

• November 2021 - Undergraduate Research Seminar, School of Mathematics, Georgia Tech.

• October 2021 - Rutgers Experimental Mathematics Seminar, Department of Mathematics, Rutgers.

• October 2021 - Combinatorics Seminar, School of Mathematics, Georgia Tech.

• October 2021 - Research Horizons Seminar, School of Mathematics, Georgia Tech.

• November 2020  - Department of Mathematics, Bar-Ilan University, Israel.

• June 2020 - Online Asymptotic Geometric Analysis Seminar, Georgia Tech.

• November 2019 - Department of Computer Sciences, Technion - Israel Institute of Technology, Israel

• April 2019 - Department of Mathematics, Bar-Ilan University, Israel.

• April 2019 - Department of Mathematics, Technion -- Israel Institute of Technology, Israel.

• April 2018 - Department of Mathematics, ORT Braude College, Israel.

• July 2016 - Department of Mathematics, University of Haifa, Israel.

• December 2015 - Department of Mathematics, University of Haifa, Israel.

Attended Workshops

• February 2022 - Workshop on Calculus of Variations in Probability and Geometry, Institute of Pure and Applied Mathematics, Los Angeles, USA.

• January-April 2021 - Trimester Program "The Interplay between High-Dimensional Geometry and Probability", Hausdorff Research Institute for Mathematics, Bonn, Germany.

• September 2019 - Dagstuhl Seminar 19401, Schloss Dagstuhl, Wadern, Germany.

Teaching Experience

• Instructor of Multivariable Calculus (2551), School of Mathematics. Georgia Tech.

• Instructor of Probability ans Statistics (3215, 3670), School of Mathematics. Georgia Tech.

• Instructor of Linear Algebra 1, Department of Mathematics, Technion. 

• Lecturer of Calculus A and B, Department of Economics, University of Haifa.

• Instructor of Probability and Statistics, Department of Mathematics, University of Haifa.

Awards and Scholarships

• 2020 Paul Bruckman prize, Fibonacci Association.

• 2020 Exellence in Teaching award, Technion, Israel.

• 2015-2018 Shulamit Aloni scholarship, granted by the Ministry of Science, Technology and Space, Israel.

• 2015 Uri Natan Peled memorial prize for outstanding interdisciplinary studies in Computer Science and Mathematics.

Seminars and Conferences Organized

• April 1, 2023 Undergraduate Mathematics Research Conference, (with Benjamin Jaye and Shahaf Nitzan), Georgia Tech.

• April 23, 2022 Undergraduate Mathematics Research Conference, (with Benjamin Jaye and Shahaf Nitzan), Georgia Tech.

• May 23-27, 2022 Workshop in Convexity and High-Dimensional Probability, (with Han Huang and Galyna Livshyts), Georgia Tech.

• Spring 2019 Combinatorics Seminar, Technion, Israel.