CURRICULUM VITAE Di Yang PERSONAL INFORMATION Name: Di Family Name: Yang Date of Birth: Feb. 8, 1986 Nationality: P. R. China Address: MPIM, Vivatsgasse 7, Bonn 53111, Germany Phone Number: +49-15163351572 E-Mail: diyang@mpim-bonn.mpg.de CURRENT POSITION Sep. 2016 Aug. 2018, Postdoctoral fellow, MPIM, Bonn, Germany PAST POSITION Sep. 2013 Aug. 2016, Postdoctoral fellow, SISSA, Trieste, Italy EDUCATION Aug. 2004 Jul. 2008, B. Sc., Tsinghua University, Beijing Sep. 2008 Jul. 2013, Ph. D., Tsinghua University, Beijing Thesis title: W-constraints and genus zero Virasoro-like constraints for Frobenius manifolds. Thesis advisor: Youjin Zhang. RESEARCH INTERESTS My general area of interest is geometry and mathematical physics. More specifically, I m interested in Frobenius manifolds and Gromov Witten invariants. Dubrovin Zhang s normal form. Moduli space of curves. Lie algebras and vertex algebras. Integrable systems. 1
Scientific PUBLICATIONS 1. Dubrovin, B., Yang, D., Zagier, D. (2017). Classical Hurwitz numbers and related combinatorics. to appear in Moscow Mathematical Journal, 2017. 2. Dubrovin, B., Yang, D. On cubic Hodge integrals and random matrices. arxiv: 1606.03720. Communications in Number Theory and Physics, 11 (2), 311 336, 2017. 3. Dubrovin, B., Yang, D. Generating series for GUE correlators. arxiv: 1604.07628. Lett Math Phys, doi: 10.1007/s11005-017-0975-6, 2017. 4. Balogh, F., Yang, D. Geometric interpretation of Zhou s explicit formula for the Witten Kontsevich tau function. arxiv: 1412.4419v2. Lett Math Phys, doi:10.1007/s11005-017-0965-8,2017. 5. Bertola, M., Dubrovin, B., Yang, D. Simple Lie algebras and topological ODEs. arxiv: 1508.03750v2. IMRN, rnw285.2016. 6. Dubrovin, B., Liu, S.-Q., Yang, D., Zhang, Y. Hodge integrals and tau-symmetric integrable hierarchies of Hamiltonian evolutionary PDEs. Advances in Mathematics, 293, 382 435, 2016. 7. Bertola, M., Dubrovin, B., Yang, D. Correlation functions of the KdV hierarchy and applications to intersection numbers over M g,n. Physica D: Nonlinear Phenomena, 327, 30 57,2016. 8. Bertola, M., Yang, D. The partition function of the extended r-reduced Kadomtsev Petviashvili hierarchy. J. Phys. A: Math. Theor., 48, 195205,2015. 9. Liu, S.-Q., Yang, D., Zhang, Y. Uniqueness Theorem of W-Constraints for Simple Singularities. Lett Math Phys, 103 (12), 1329 1345, 2013. 10. Fokas, A. S., Yang, D. On a novel class of integrable ODEs related to the Painlevé equations. International Journal of Bifurcation and Chaos, 22 (09), 1250211, 2012. Preprints 1. Dubrovin, B., Yang, D. (2017). On Gromov Witten invariants of P 1.arXiv:1702.01669.(submitted). 2. Dubrovin, B., Liu, S.-Q., Yang, D., Zhang, Y. (2016). Hodge GUE correspondence and the discrete KdV equation. arxiv: 1612.02333. 3. Bertola, M., Dubrovin, B., Yang, D. (2016). Simple Lie algebras, Drinfeld Sokolov hierarchies, and multipoint correlation functions. arxiv: 1610.07534. TEACHING EXPERIENCES Fall, 2008. Teaching assistant, Calculus III. Tsinghua University. Spring, 2009. Teaching assistant, Calculus II. Tsinghua University. Fall, 2010. Teaching assistant, Mathematical Analysis III. Tsinghua University. Spring, 2011. Teaching assistant, Differential Geometry. Tsinghua University. Fall, 2011. Teaching assistant, Mathematical Analysis I. Tsinghua University. Spring, 2012. Teaching assistant, Mathematical Analysis II. Tsinghua University. Spring, 2013. Teaching assistant, Linear Algebra II. Tsinghua University. 2
Winter Spring, 2016, Lecturer, Introduction to Frobenius manifolds (PhD course). SISSA. Nov. 8, 2016. Lecturer, Gromov Witten invariants of a point and the KdV equation: An Introduction to Witten s Conjecture. (minicourse). MPIM, Bonn. Nov. 15, 2016. Lecturer, Counting rational and elliptic curves in CP 2. (minicourse). MPIM, Bonn. Summer semester, 2017. Lecturer, Frobenius manifolds. MPIM. Bonn VISITING EXPERIENCES Oct. 2009 Oct. 2010, DAMTP, University of Cambridge, Cambridge. Sep. 2012 Dec. 2012, SISSA, Trieste. Jul. 2013 Sep. 2013, YMSC, Tsinghua University, Beijing. Aug. 2014 Sep. 2014, Department of Mathematical Sciences, Tsinghua University, Beijing. Oct. 2014 Nov. 2014, Department of Mathematics and Statistics, Concordia University, Montréal. Sep. 2015 Oct. 2015, Department of Mathematical Sciences, Tsinghua University, Beijing. Dec. 2015, Institut de Mathématiques de Bourgogne, Université de Bourgogne, Dijon. Dec. 2015, LAREMA, Université d Angers, Angers. Nov. 27, 2016 Dec. 8, 2016, SISSA, Trieste. Feb. 14, 2017 Feb. 23, 2017, DMS, Tsinghua University, Beijing. Mar. 18, 2017 Mar. 23, 2017, LAREMA, Université d Angers, Angers. Apr. 25, 2017 Apr. 27, 2017, School of Mathematics, Sun Yat-sen University, Guangzhou. RESEARCH TALKS Jul. 2011, On a Novel approach to elastodynamics. Tsinghua University. Dec. 2011, A short introduction to integrable systems. Tsinghua University. Apr. 2012, A novel class of integrable ODEs related to the Painlevé equations. Tsinghua University. Dec. 5, 2012, Semisimple Frobenius manifolds, vertex algebra and W-constraints. SISSA. May 23, 2013, W-constraints and genus zero Virasoro-like constraints for Frobenius manifolds. Peking University. Mar. 5, 2014, Conformal field theory of Painlevé VI. SISSA. Oct. 17, 2014, Frobenius manifolds and integrable hierarchies I. Concordia University. Oct. 31, 2014, Frobenius manifolds and integrable hierarchies II. Concordia University. Nov. 14, 2014, Frobenius manifolds and integrable hierarchies III. Concordia University. Nov. 26, 2014, The extended Gelfand Dickey hierarchy, wave functions and a generalisation of the Buryak s partition function. SISSA. Feb. 12, 2015, Gromov Witten theory II: Counting elliptic curves in P 2. ICTP. 3
Mar. 25, 2015, Explicit formula for Witten s r-spin partition function. SISSA. Dec. 9, 2015, On intersection numbers and quasi-triviality of Dubrovin Zhang hierarchies. Université de Bourgogne. Dec. 15, 2015, Drinfeld Sokolov hierarchies and multipoint correlation functions. University of Angers. Jul. 27, 2016, Hodge integrals and integrable hierarchies. SISSA. Sep. 13, 2016, Cubic Hodge integrals and enumeration of ribbon graphs. MPIM. SUMMER SCHOOLS, WORKSHOPS and CONFERENCES: Jul. 2008, National Graduates Summer School in Mathematics. USTC, Hefei. Jun. 2009, Summer School on Integrable Systems and Scientific Computing. ICTP, Trieste. Mar. 2010, Conference for Young Researchers in Mathematics. University of Cambridge, Cambridge. Sep. 2010, Spitalfields Day: Geometry and algebra. Royal Society of Edinburgh, Edinburgh. Dec. 2010, International Congress of Chinese Mathematicians. Tsinghua University, Beijing. Jun. 2013, Symplectic Geometry and Mathematical Physics. BICMR, Peking University, Beijing. Sep. 2013, Hamiltonian PDEs, Frobenius Manifolds and Deligne Mumford Moduli Spaces. SISSA, Trieste. Jun. 2014, Workshop on Geometric and Analytic Aspects of Integrable and nearly-integrable Hamiltonian Systems. University of Milano-Bicocca, Milan. (Contributed talk: Jun. 21, 2014, Dubrovin Zhang hierarchy for Hodge integrals. University of Milano Bicocca.) Jun. 2014, Fifth International Conference and School Geometry, Dynamics, Integrable Systems GDIS 2014: Bicentennial of The Great Poncelet Theorem and Billiard Dynamics. ICTP, Trieste. Jul. 2014, Integrability and Isomonodromy in Mathematical Physics. Lorentz Center, Leiden. Dec. 2014, Perspectives in Lie Theory. Centro di Ricerca Matematica Ennio De Giorgi, Scuola Normale Superiore, Pisa. (Contributed talk: Dec. 15, 2014, Uniqueness theorem of W-constraints for simple singularities.) Sep. 2015, Moduli Spaces in Algebraic Geometry and Mathematical Physics. CIM, Nankai University, Tianjin. (Contributed talk: Sep. 18, 2015, N-point functions of the KdV hierarchy and higher Weil Petersson volumes.) Sep. 2015, Gromov Witten Theory and Integrable Hierarchies. Tsinghua University, Beijing. (Contributed talk: Sep. 27, 2015, On the Dubrovin Zhang Hodge integrable hierarchies.) Jun./Jul. 2016, String-Math 2016, Collège de France, Paris. Aug. 2016, Advanced School and Workshop on Moduli Spaces, Mirror Symmetry and Enumerative Geometry. ICTP, Trieste. (Contributed talk: Aug.18, 2016, Cubic Hodge integrals and random matrices.) Mar. 2017, Workshop on Enumerative Geometry. IHP, Paris. Mar. 2017, Cycles and Moduli. ETH, Zurich. Apr. 2017, "Perspectives of Mathematics in the 21st Century: Conference in Celebration of the 90th Anniversary of Mathematics Department of Tsinghua University". Tsinghua University, Beijing. (Contributed talk: Classical Hurwitz numbers and related combinatorics.) May 2017, Modular forms are everywhere. MPIM, Bonn. 4
Jun. 2017, Geometry of Integrable Systems. SISSA, Trieste. (Contributed talk: June 7, 2017, From matrix-resolvents to tau functions). REFERENCES Youjin Zhang Boris Dubrovin Don Zagier Jian Zhou A. S. Fokas Marco Bertola Ben Andrews 5