Martin W. Licht
S.E.W. Visiting Assistant Professor
Center for Computational Mathematics Department of Mathematics University of California, San Diego [website] Office 5880E mlicht ATSIGN ucsd DOT edu Mail Address: Department of Mathematics The University of California, San Diego 9500 Gilman Dr, # 0112 La Jolla, CA 92093 USA Current Whereabouts: I am currently a visitor at the Isaac Newton Institute for Mathematical Sciences at the University of Cambridge, United Kingdom. 
Publications and Preprints
 Complexes of Discrete Distributional Differential Forms and their Homology Theory, Found Comput Math (2017) 17: 10851122. [Arxiv] [Journal]
 Smoothed Projections over Weakly Lipschitz Domains. Math. Comp. 88 (315), 179210 [Download] [Arxiv] [Journal]
 Smoothed Projections and Mixed Boundary Conditions. Math. Comp. 88 (316), 607635 [Download] [Arxiv] [Journal]
 PoincaréFriedrichs Inequalities for Complexes of Distributional Differential Forms. With Snorre Christiansen. Accepted for publication in BIT Numerical Mathematics. [Download]
 A divergenceconforming finite element method for the surface Stokes equation. With Andrea Bonito and Alan Demlow. Submitted. [Arxiv]
 HigherOrder Finite Element De Rham Complexes, Partially Localized Flux Reconstructions, and Applications. Submitted. [Download]
 Geometric Transformation of Finite Element Methods. With Michael Holst. Submitted. [Download] [Arxiv]
 On Basis Constructions in Finite Element Exterior Calculus. Submitted. [Download] [Arxiv]
 A divergenceconforming finite element method for the surface Stokes equation. With Alan Demlow and Andrea Bonito. Submitted. [Arxiv]
 Smoothed Projections over Compact Riemannian Manifolds. With Snorre Christiansen. In Preparation.
Education
01/2014  06/2017 
PhD in Mathematics, University of Oslo. Thesis: On the A Priori and A Posteriori Error Analysis in Finite Element Exterior Calculus. [Download] 
10/2006  12/2013 
Diplom (degree) in Mathematics, University of Bonn. Diplom thesis: Smoothed Analysis of Linear Programming. [Download] Final grade: "sehr gut". 
10/2006  06/2012 
Diplom (degree) in Mathematics, University of Bonn. Diplom thesis: Discrete distributional differential forms and their applications. Final grade: "sehr gut". 
Further Education 

Since 07/2019  Visitor at Isaac Newton Institute, University of Cambridge, UK 
07/2018  08/2018  MicroMBA, Rady School of Management, UCSD. 
09/2015  05/2016  Visiting Research Scholar, University of Minnesota. 
06/2010  09/2010 
Visiting Scholar, Jülich Supercomputing Centre. Domain Distribution for parallel Modeling of Root Water Uptake. Proceedings 2010, JSC Guest Student Programme on Scientific Computing, 2010. [Link] 
Research Interests
 Finite element exterior calculus
 Structurepreserving numerical methods for partial differential equations
 Partial differential equations over manifolds
 Numerical linear algebra


Discrete harmonic vector fields on an annullus, computed with a lowestorder Nedéléc method. Once with tangential boundary condition (left), then with normal boundary conditions (right). 
Code
Teaching
 Introduction to Numerical Analysis: Ordinary Differential Equations — Math 170C, Spring Quarter 2020
 Math 18, Spring Quarter 2020
 Introduction to Numerical Analysis: Approximation and Nonlinear Equations — Math 170B, Winter Quarter 2020
 Math 18, Winter Quarter 2020
 Mathematical Reasoning — Math 109, Spring Quarter 2019
 Introduction to Numerical Analysis: Linear Algebra — Math 170A, Winter Quarter 2019
 Introduction to Numerical Analysis: Approximation and Nonlinear Equations — Math 170B, Winter Quarter 2019
 Numerical Linear Algebra — Math 270A, Fall Quarter 2018
 Calculus III — Math 10C, Spring Quarter 2018
 Mathematical Reasoning — Math 109, Winter Quarter 2018
 Applied Linear Algebra — Math 102, Fall Quarter 2017