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Welcome! I am a current Ph.D student at the University of Georgia in Athens studying mathematics. My advisor is Benjamin Bakker.

Here is my departmental website. Here is my CV.

Research Interests

Complex algebraic geometry, Hodge theory, Calabi-Yau manifolds, abelian varieties, and K3 surfaces.

News

University of Georgia

Fall 2018

  1. (November 16-18, 2018). I attended a graduate workshop on D-Modules and Hodge theory at UIC. I was funded through their NSF grant.
  2. (November 9, 2018). I gave a talk on "Algebraic Geometry for Non-Algebraic Geometers" in SMARTS. I focused on the "big" problem of birational classes.
  3. (November 7, 2018). I gave a talk on complex surfaces in the graduate topology seminar.
  4. (October 30, 2018). I gave a talk on Serre GAGA in the graduate student seminar. Here are some notes.
  5. (October 20, 2018). I volunteered at the annual high school math tournament.
  6. (October 6-7). I attended the Western Algebraic Geometry Symposium (WAGS) at the University of Oregon.
  7. (August 9-10, 2018). I passed my third (real analysis, 3/4) and final (topology (MP), 4/4) qualifying exams!
  8. I participated in the DRP again as Xinyu Shi's graduate mentor. We discussed elliptic curves.
  9. I graded for Math 3100 (Sequences and Series) this semester, along with study hall.

Summer 2018

  1. (July 26-27, 2018). I discussed Hodge theory and period mappings at the annual Mock-AMS talks at UGA. Here are the slides.
  2. (June 23-25, 2018). I attended a workshop on Higgs bundles at UIC.
  3. I received funding this term through the RTG grant (NSF DMS-1344994).

Spring 2018

  1. (April 12, 2018). I lead a review session for the third precalculus midterm with Kellie Sappington, supported by the DAE.
  2. (April 9, 2018). I gave a lecture in the "Rational Points" reading group on the classification of surfaces and Kodaira dimension. Here are some notes.
  3. (March 18, 2018). I helped Kellie Sappington create a video series for a precalculus midterm through the DAE. Here is a link to the videos.
  4. (March 6, 2018). I gave a talk in the K3 surfaces topics course. The lecture focused on singular abelian and K3 surfaces and was based primarily on the results of Shioda and Inose.
  5. (February 23-25, 2018). I attended the Georgia algebraic geometry symposium (GAGS) at the Georgia Institute of Technology.
  6. (January 24, 2018). I gave a lecture in the Hodge theory VRG on the finitude of the variation of Hodge structure. The talk was based on a paper of Deligne. Here is a loose translation of the relevant parts, as well as the lecture notes. The original paper (in French) can be found here.
  7. (January 3, 2018). I passed my second qualifying exam (complex analysis, 2/4).
  8. I served as one of the math department's representatives for the Division of Academic Enhancement (DAE), tutoring undergraduates in early college math courses.
  9. I participated in the math department's Directed Reading Program (DRP) as a graduate mentor. I advised Hank Morris in algebraic geometry. I based Hank's program on Fulton's Algebraic Curves.
  10. I served as the graduate proctor for the precalculus lab.

Fall 2017

  1. (October 21, 2017). I volunteered at the UGA math tournament.
  2. (September 26, 2017). I gave a talk at the graduate student seminar, titled "On the Casas-Alvero Conjecture for Univariate Polynomials over a Field of Characteristic 0." The talk was based on a 2007 paper.
  3. (August 9, 2017). I passed my first qualifying exam (algebra, 1/4).
  4. I graded homework, projects and midterms, and held office hours for two sections of math 3300 (Applied Linear Algebra). I also tutored during study hall for the department's undergraduates.
  5. I served as the graduate proctor for the precalculus lab.

University of Washington

  1. (Summer 2017): I worked as a teaching assistant-counselor (TAC) at the University of Washington's Summer Institute of Mathematics (SIMUW).
  2. (Spring 2017): I graded homework for one section of math 328 (Intro to Real Analysis II). I also tutored in mathematics at CLUE.
  3. (Winter 2017): I graded homework for two sections of math 327 (Intro to Real Analysis I). I also tutored in mathematics at CLUE. This quarter, I wrote review packets for lectures I gave for math 126 (Calculus III) students. Feel free to look below!
  4. (March 8, 2017): I gave a talk on Bruhat Intervals, Coxeter Arrangements, and Lambda-saturated chains for a graduate course. Here are some notes. It was based on the following paper.
  5. (Fall 2016): I graded homework for two sections of math 327 (Intro to Real Analysis I). I also tutored in mathematics at CLUE.
  6. (Summer 2016): I graded homework for one section of math 327 (Intro to Real Analysis I) and two sections of math 328 (Intro to Real Analysis II). I was also the grader for math 402 (Modern Algebra) for which I held office hours and wrote solutions to homework.
  7. (Spring 2016): I graded homework for three sections of math 328 (Intro to Real Analysis II).
  8. (Winter 2016): I graded homework for two sections of math 328 (Intro to Real Analysis II).
  9. (March 21, 2016): I spoke on a panel at the University of Washington's annual Math Day.
  10. (Fall 2015): I graded homework for one section of math 300 (Intro to Mathematical Proofs) and two sections of math 309 (Linear Analysis).
  11. (Summer 2015): I graded homework for one section of math 328 (Intro to Real Analysis II), one section of math 300 (Intro to Mathematical Proofs) and one section of math 309 (Linear Analysis).
  12. (Spring 2015): I graded homework for three sections of math 309 (Linear Analysis).
  13. (Winter 2015): I graded homework for three sections of math 309 (Linear Analysis).

Math 126 (Calculus III) Midterm 1

Math 126 (Calculus III) Midterm II

Math 126 (Calculus III) Final



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