#### Contact

Office: EBU3B, Room 4112.

9500 Gilman Dr, MC 0404
La Jolla, CA 92093-0404

Email: alchern at ucsd.edu

#### About

I am an assistant professor at Center of Visual Computing, Computer Science and Engineering, UC San Diego.

Prior to the current position I was a
postdoctoral researcher in Mathematics at Technische Universität Berlin, the geometry research group (Discretization in Geometry and Dynamics). I received my PhD (2017) in Applied and Computational Mathematics at California Institute of Technology advised by Professor
Peter Schröder. Prior to the PhD study, I received a master (2012) and bachelor (2011) degree in Mathematics at National Taiwan University.

I am interested in the mathematical problems emerging in *computer graphics*, in particular *geometry processing* and *physics simulation*. This is the area where we find exciting interplay among differential geometry, algebraic topology, differential equations, and computational mathematics. This includes physical modeling in geometric language that yields novel description to fluid dynamics, and discretization methods that preserves structures in their continuous analogs.

Besides academic interests, I am also an amateur Houdini programmer, drawing artist and classical pianist.

#### Lab Members

#### Honors and Awards

- SAP Young Researcher Grant at the 6th Heidelberg Laureate Forum, 2018.
- Ben P.C. Chou Doctoral Prize in IST
*(for outstanding dissertations in the broad area of information science and technology)*, 2017.
- W. P. Carey & Co. Prize (
*for outstanding doctoral dissertations in applied mathematics)*, 2017.
- Microsoft Graduate Teaching in CMS Prize
*(awarded to a graduate student for outstanding teaching and course development in computing and mathematical sciences)*, 2017

#### News and Upcoming Event

*July 1, 2020* Starting my new position at Computer Science and Engineering at UC San Diego.
*Apr 29, 2020* Talk on *An Exact Discretization of Reflectionless Boundaries for Wave Equations* at Massachusetts Institute of Technology, Cambridge, Massachusetts.
*Nov 22, 2019* Seminar talk on *Incompressible Schrödinger and Ginzburg–Landau Systems in Computer Graphics* at the Conference on "Quantum Condensation, Fluids and Information" at NUS, Singapore.
*Nov 18, 2019* Technical paper presentation *Chebyshev Nets from Commuting PolyVector Fields* at Siggraph Asia, Brisbane, Australia.
*Sep 25, 2019* Talk on *Reflectionless Boundary Condition with Discrete Complex Analysis* at the SFB Workshop 2019 "DGD Days," Raitenhaslach, Germany.
*Sep 19, 2019* Colloquium lecture on *Shape from Metric* at ICERM Workshop "Illustrating Geometry and Topology" at Brown University, Providence, Rhode Island.
*Sep 2, 2019* Conference talk on *Bubble Rings and Ink Chandeliers with Kaluza–Klein Geometry* in the Geometry Workshop at Strobl, Strobl, Austria.
*May 7, 2019.* SFB-TRR 109 Colloquium talk on *Perfectly Matched Layer with Discrete Complex Analysis* at TU Berlin, Berlin, Germany.
*Apr 23, 2019.* Seminar talk on *Commuting Hamiltonian of Space Cuves* at TU Berlin, Berlin, Germany.
*Apr 3, 2019.* Seminar talk on *Geometric Approaches in Computational Waves and Fluid Dynamics* at UCLA, Los Angeles, California.
*Feb 11, 2019.* Colloquium lecture on *Computational Problems from a Geometric Perspective* at UCSD, La Jolla, California.
*Feb 11, 2019.* Colloquium lecture on *Computational Problems from a Geometric Perspective* at UCSD, La Jolla, California.
*Dec 9, 2018.* Invited talk on *Geometric Approaches in Computational Problems* at Mathematical Progress in Expressive Image Synthesis (MEIS), Shibura Institute of Technology, Japan.
*Oct 11, 2018.* Invited talk on *Shape from Metric* at the International Conference on "Discretization in Geometry and Dynamics", Döllnsee-Schorfheide, Germany.
*Sep 23–28, 2018.* Participated the 6th Heidelberg Laureate Forum, Heidelberg, Germany.
*Aug 14, 2018.* Conference presentation on *Shape from Metric* at SIGGRAPH technical papers, Vancouver, Canada.
*Jun 27, 2018.* Invited talk on *Geometric Approaches in Computational Problems* at IST Austria, Klosterneuburg, Austria.
*Jan 30, 2018.* Invited talk on *Fluid Dynamics with Geometric Clebsch Variables* in Mathematics at University of Bonn, Bonn, Germany.
*Oct 6, 2017.* Talk on *Geometric Clebsch Variables* at SFB Workshop "DGD Days", Raitenhaslach, Germany.
*Sep 24, 2017.* Talk on *Geometric Clebsch Variables* at Geometry Workshop at Obergurgl, Obergurgl, Austria.
*Aug 3, 2017.* Conference presentation on *Inside Fluids: Clebsch Maps for Visualization and Processing* at SIGGRAPH technical papers, Los Angeles, California.
*July, 2017.* Employed as a post-doctoral researcher at math department at TU Berlin.
*Jun 16, 2017.* Graduated as a PhD, Caltech.
*May 23, 2017.* PhD thesis defended.
*Apr 6, 2017.* Invited talk on *Schrödinger's Smoke* at the applied math at UT Austin, Texas.
*Mar 27, 2017.* Invited talk on *Schrödinger's Smoke* at Indiana University, Bloomington, Indiana.
*Feb 22, 2017.* Invited talk on *Incompressible Schrödinger Flow* at Los Alamos National Laboratory, New Mexico.
*Dec 22, 2016.* Invited talk on *Fluid Simulations with Hopf Fibration* at National Taiwan University and National Chiao Tung University, Taiwan.
*Oct 19, 2016.* Colloquium talk on *Fluid Simulations by Incompressible Schrödinger Flow* at math department, UCLA, California.
*Sep 7, 2016.* Invited talk on *Schrödinger's Smoke* at computer graphics group, TU Berlin.
*Aug 18, 2016.* Invited talk on *Schrödinger's Smoke* at Weierstrass Institute for Applied Analysis and Stochastics (WIAS), Berlin Germany.
*Aug 11, 2016.* Invited talk on *Schrödinger's Smoke* at KTH Royal Institute of Technology, Stockholm, Sweden.
*Jul 26, 2016.* Conference presentation on *Schrödinger's Smoke* at SIGGRAPH Technical Papers, Anaheim, California.
*Jul 12, 2016.* Colloquium talk on *Incompressible Schrödinger Flow* at Berlin International Graduate School in Model and Simulation based Research (BIMoS), Berlin.
*Apr-Sep, 2016.* Visiting research at TU Berlin.
*Apr 6, 2016.* Invited talk on *Schrödinger's Smoke* at UC Irvine, California.
*Jan 26, 2016.* Talk on *Close-to-Conformal Deformation of Volumes* at Oberwolfach Mathematical Research Institute, Oberwolfach, Germany.
*Aug 11, 2015.* Conference presentation on *Close-to-Conformal Deformation of Volumes* at SIGGRAPH Technical Papers, Los Angeles, California.