Derek J Jung

 Derek Jung

Contact Information

169 Altgeld Hall
PhD Student
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Biography

I am a fourth-year Ph.D. student in Mathematics and my advisor is Jeremy Tyson. I graduated from UCLA with a B.S. in Mathematics in the class of 2014. In my free time, I enjoy watching Golden State Warriors games, cooking, and going to the gym.

Research Interests

  • sub-Riemannian geometry
  • geometric analysis

Research Description

I view model filiform groups, such as the first Heisenberg group and Engel group, as Carnot groups and I’m interested in their metric structure when equipped with a sub-Riemannian path metric. There are many different aspects one could investigate, but so far I have looked at Holder maps and Lipschitz homotopy groups.

Education

  • University of Illinois at Urbana-Champaign, 2014-Present
  • UCLA, B.S. in Mathematics, Class of 2014
  • Northgate High School, Class of 2010
  • Foothill Middle School, Class of 2006
  • Bancroft Elementary School, Class of 2003

Distinctions / Awards

  • GAAAN Fellowship, Jan. 2016-Present
  • Paul Daus Memorial Award (for outstanding achievement in math by an undergraduate), June 2014
  • Summa cum laude, June 2014
  • Highest honors in mathematics, June 2014
  • College honors, June 2014

Selected Publications

Journal Articles

Jung, Derek Joseph A variant of Gromov's problem on Holder equivalence of Carnot groups Journal of Mathematical Analysis and Applications 456 1 2017, p. 251-273. arXiv.
Gartland, Chris, Derek Jung, and Matt Romney Quasiconformal mappings on the Grushin plane Mathematische Zeitschrift 2017, p. 1-14. arXiv.
Parity-check multiplicity in binary cyclic codes Electronic Letters 49 23 2013, p. 1456-1457.