Curriculum Vitae Jihyeon Jessie Yang

Transcription

1 Curriculum Vitae Jihyeon Jessie Yang Contact Department of Mathematical and Computational Sciences University of Toronto Mississauga 3359 Mississauga Road Deerfield Hall, Room 3018 Mississauga, ON., L5L 1C6 Canada Phone: Web: http: //individual.utoronto.ca/jessie_yang Personal details Place of birth: Citizenship: South Korea Korean Permanent Residentship: Canada Languages: Korean/English Research Interests I am interested in the computational and combinatorial aspects of algebraic geometry. The well-established toric geometry shows that this approach is very fruitful by providing many applications in diverse areas in Mathematics. Recently, two systematic approaches have been rapidly developing to generalize toric geometry: Newton-Okounkov body theory and Tropical geometry. Following these approaches, I have been working on two specific spaces, Severi varieties and Schubert varieties, which parameterize two fundamental mathematical objects, plane curves and linear subspaces, respectively. Severi varieties got a recent interest in the connection to Gromov-Witten invariants and String theory in Physics. Schubert varieties appear everywhere in Mathematics and I am mostly interested in the connection with algebraic geometry, symplectic geometry, and representation theory. Position and Education Sep Present Sessional Lecturer. Department of Mathematical and Computational Sciences, University of Toronto Mississauga, Canada Sep Aug Postdoc. Department of Mathematics and Statistics, McMaster University, Canada Mentor: Megumi Harada Sep Aug PhD., Mathematics. Department of Mathematics, University of Toronto, Canada. Advisor: Askold Khovanskii Master of Arts, Mathematics. Departments of Mathematics, State University of New York at Stony Brook Advisors: Sorin Popescu and Dusa McDuff Bachelor of Science, Mathematics. Department of Mathematic, Pusan National University, Pusan, South Korea Teaching <University of Toronto Mississauga>

2 Fall 2015 MAT134Y: Calculus for Life Sciences I am a lecturer for two sections of this course. One section has about 150 students and the other section has about 100 students. I am responsible for three - hour lectures per week for each section, two-hour office hours, and collaboration with the course coordinator for evaluations of students. More details can be found at my teaching dossier attached. <McMaster University> I was a course instructor for the following courses (except for MAT1A03/1ZA3) with full responsibility for each course. More details can be found at my teaching dossier attached and my website for teaching, Summer 2015 Winter 2015 Fall 2014 Winter 2014 Winter 2014 Summer 2013 Winter 2013 MAT1F03: Introduction to Calculus and Analytic Geometry MAT2R03: Linear Algebra II MAT2L03: Mathematical Methods for Business and Social Sciences MAT3V03: Graph Theory MAT1A03/1ZA3: Calculus for Science I MAT 2R03: Linear Algebra II MAT 4ET/6ET3: Topics in Algebra (Introduction to Algebraic Geometry) <University of Toronto> / Course instructor, Groups and Symmetry Full responsibility for the classes of about 50 students, including making syllabus, lecturing, supervising teaching assistants, designing tests and evaluating students / Teaching Assistant Gave weekly tutorials and office hours, marked assignments and term tests for various undergraduate math courses, including Linear Algebra for Engineers, Calculus I, Calculus II, Linear Algebra, Groups and Symmetry. <State University of New York at Stony Brook> / Course instructor, Introduction to Calculus (Session I) Full responsibility for the classes of about 35 students at Manhattan Campus, including making syllabus, lecturing, designing quizzes and tests and evaluating students / Course instructor, Calculus A (Session II) Same as above / Course instructor, Introduction to Calculus (Session I) Same as above / Teaching Assistant Graduate Core Courses (Algebra, Analysis): Marked assignments, made the solutions sheets and posted them on the board for each class of about 10 students every second week; Various undergraduate courses. Other Teaching-Related Experience I registered as an attendee of the Mathematics Education Forum at the Fields Institute for Research in Mathematical Sciences, Canada. I plan to participate the Forum on a monthly basis during the academic year One of my lectures was videotaped by the Academic Skills Centre at University of Toronto Mississauga. I will review the video with a faculty member of the Centre and discuss on further developments of my teaching skills.

3 I participated in Connecting Women in Mathematics Across Canada at Banff International Research Station, Canada. It was a two-day workshop focusing on three main topics: Giving a research talk, University Teaching, and Research / I participated in a special program, Mathematics for Biology, for undergraduate students in the Department of Biology, State University of New York at Stony Brook in I took part in the discussion sessions organized by Biology department and was responsible to have a meeting with a teaching assistant from Biology department every other week to provide suggestions I passed MAT598 Teaching Practicum at State University of New York at Stony Brook in We discussed various aspects of teaching mathematics in classes and had one-to-one meetings with the supervisor after monitoring of my classes and recording a video of my teaching I took the following courses at Pusan National University: Philosophy and History of Education, Sociology of Education, Educational Psychology, Educational Administration and Educational Management. 1992/2008 I tutored various students from elementary school to university level. Organization Dec Summer 2013 July 2012 Winter 2012 I organized with Eric Katz the special session, Toric and Combinatorial Algebraic Geometry, at 2014 CMS Winter Meeting, December 5-8, 2014 I organized the Hartshorne Reading Seminar for graduate students at McMaster University which aimed for studying the book of Hartshorne, Algebraic Geometry. I organized with Megumi Harada a project, Toric varieites, at Fields MITACS Undergraduate Summer Research Program, July 3-August 24, 2012 I organized with Jordan Watts the Quantum Cohomology Reading Seminars at the University of Toronto. Awards Sep Aug Postdoctoral Fellowship at McMaster University School of Graduate Studies Conference Grant. Sep Aug University of Toronto Graduate Fellowship. Sep Aug State University of New York at Stony Brook Graduate Fellowship th in Korean National Mathematics Contest for Undergraduate Students Pusan National University Scholarship for High Achievements Pusan National University Scholarship for High Achievements. Community Work Nov I participated in Food4Kids ( Jan Aug I was a soprano in Newman Center Catholic Parish at University of Toronto. Nov Aug I organized a music-class titled Korean Songs at Charles Street Day Care Center for kindergartners. I organized a math-class titled No-Ground Ant at Charles Street Day Care Center for kindergartners I was a volunteer teacher in a non-profit organization in South Korea for people with disability who did not have an access to proper education I was a soprano in Pusan National University Chorus and also served as a clerk for a year.

4 Invited Lecture Series July 2014 Okounkov Bodies, Toric Degenerations, and Bott-Samelson Varieties, Lecture Series at KAIST, Korea, July 15 24, June 2014 GAIA Special Lecture Series, GAIA, Korea, June 24 25, Aug Tropical Mathematics, Lecture Series at POSTECH, Korea, August 02 04, Invited Talks Aug July 2015 Newton-Okounkov bodies of Bott-Samelson varieties and toric degenerations to Bott towers, Combinatorial Constructions in Topology, University of Regina, Canada, August 17-21, Newton-Okounkov body theory and connection to Representation theory, Workshop on recent developments in the geometry and combinatorics of Hessenberg varieties, Fields Institute, Toronto, Canada, July 22-24, May Grossberg-Karshon twisted cubes and Newton polytope, Osaka City University, Japan, May 6, Mar Jan Initial Ideals and Tropical Severi Varieties, Algebra Seminar at University of Western Ontario, Canada, March 4, Tropical Severi Varieties and Applications, Joint Mathematics Meetings Special Session on Tropical Geometry, January 9-12, Nov Tropical Severi Varieties, Tropical Geometry Seminar at Yale University, U.S.A., November 29, Nov Tropical Severi Varieties, Geometry and Topology Seminar at Waterloo University, Canada, November 21, Nov Limits of Schemes, Geometry and Topology Seminar at McMaster University, Canada, November 1, Oct May 2012 Feb Nov Oct Aug Tropical Severi Varieties and Applications, American Mathematical Society Fall Central Sectional Meeting Special Session on Toric Algebraic Geometry and Beyond, October 20-21, Parameter Spaces of Curves constructed from polygons, Ontario Combinatoric Workshop at the Fields Institute, Toronto, Canada. Tropical Severi Varieties and Applications, Geometry and Topology Seminar at McMaster University, Canada, February 2, Parameter Spaces of Curves On Toric Surfaces, Joint Seminar with TU Kaiserslautern at University of Saarlandes, Germany, November 3, Parameter Spaces of Curves On Toric Surfaces, Algebraic Geometry Seminar at Queen s University, Canada, October 31, Tropical Mathematics and Severi Varieties of Curves on Toric Surfaces, Pusan National University, Korea, August 02, June 2011 Tropicalizations of Severi Varieties, Women in Mathematics, University of Toronto, Canada, June 29, Apr Apr June 2009 Apr Tropicalization and Connections to Secondary Fans, Graduate Student Seminar at University of Toronto, Canada, April 13, Tropicalizations of Severi Varieties and Connections to Secondary Fans, Ninth Annual Graduate Student Topology and Geometry Conference at Michigan State University, U.S.A., April 3, Severi Variety and Subdivisions, Tropical Geometry Summer School at Korea Institute for Advanced Study, Korea, June The Geometry of Semigroups, Columbia-Stony Brook Junior Algebraic Geometry Seminar at Stony Brook University, U.S.A., April 2005.

5 Contributed talks/short communications/poster Presentations July 2015 Feb Oct June 2011 Functoriality of Newton-Okounkov body-toric degeneration and applications to Schubert varieties, Poster presentation, Workshop on recent developments in the geometry and combinatorics of Hessenberg varieties, Fields Institute, Toronto, Canada, July 22-24, Toric Desingularization of Gelfand-Zetlin toric variety, Contributed talk, Geometry and Topology Seminar at McMaster University, Canada, February 5, Tropical Geometry and Newton-Okounkov Body Theory, Short communication, Connecting Women in Mathematics Across Canada, Banff International Research Station, Canada, October 3-5, Okounkov bodies, toric dedgenerations, and Bott-Samelson varieties, Short communication, International Congress of Mathematicians, Korea, August 19, Convexity of supports of the Grossberg-Karshon twisted cubes, Poster presentation, International Congress of Mathematicians, Korea, August 15, Okounkov bodies, toric dedgenerations, and Bott-Samelson varieties, Contributed talk, Topology of Torus Actions and Applications to Geometry and Combinatorics, Korea, August 8, Tropicalizations of singular strata and applications, Poster presentation, Toric geometry and applications, KU Leuven, Belgium, June 6-10, Conferences attended Aug Combinatorial Constructions in Topology, University of Regina, Canada, August 17-21, July 2015 Workshop on recent developments in the geometry and combinatorics of Hessenberg varieties, Fields Institute, Toronto, Canada, July 22-24, Dec CMS Winter Meeting, Hamilton, Ontario, December 5-8, 2014 Oct May Apr Jan Dec Oct Oct July 2012 May 2012 July 2011 June 2011 Aug June 2009 Connecting Women in Mathematics Across Canada, Banff International Research Station, Canada. International Congress of Mathematicians, Seoul, Korea. Topology of Torus Actions and Applications to Geometry and Combinatorics (A satellite conference of ICM 2014), Daejeon, Korea. Okounkov Bodies and Applications, Oberwolfach, Germany. AGNES (Algebraic Geometry Northeastern Series), Yale, U.S.A. Joint Mathematics Meetings, San Diego, CA, U.S.A. Combinatorial Commutative Algebra and Applications, MSRI, Berkeley, CA, U.S.A. Fields Medal Symposium, Fields Institute, Toronto, ON, Canada American Mathematical Society Fall Sectional Meeting, Akron, OH, U.S.A. The 5th Mathematical Society of Japan Seasonal Institute, 2012 International summer school and conference on Schubert calculus, Osaka, Japan Ontario Combinatorics Workshop, Fields Institute, Toronto, ON, Canada. Workshop on Moduli and Birational Geometry, POSTECH, Korea. Toric geometry and Applications, Leuven, Belgium. Connections for Women: Tropical Geometry, MSRI, Berkeley, CA, U.S.A. KIAS Summer School on Tropical Geometry, Seoul, Korea.

6 Publications Accepted Newton-Okounkov bodies of Bott-Samelson varieties and Grossberg-Karshon twisted cubes, with Megumi Harada, accepted in Michigan Math. J. Published Secondary fans and Tropical Severi varieties, Manuscripta Mathematica (2016), 149 (1), Grossberg-Karshon twisted cubes and basepoint-free divisors, with Megumi Harada, J. Korean Math. Soc. (2015), 52 (4): Tropical Severi varieties, Port. Math. 70 (2013), no. 1, Preprint The Stratum of Singular hypersurfaces with One multiple point and its Tropicalization Work in progress Functorial toric desingularization and applications to Schubert Calculus Symmetries of Canonical basis and Valuations Some Parameter Spaces of Curves on Toric Surfaces, Their tropicalizations and Degrees