
The Mathematical and Computational Physics Group (MCP)
Michael Holst directs the MCP Research Group, which is a
collection of research scientists, postdocs, doctoral students,
masters students, and undergraduate students from the
Mathematics and Physics Departments at UCSD.
Other CCoM faculty are often involved in the research.
The group is supported by NSF, DOE, NIH, DOD, and other funding awards for
research projects in several areas of computational mathematics
and mathematical physics.
The research areas covered by the group include:
General Research Areas:
Numerical Analysis,
Applied Analysis,
Partial Differential Equations,
Mathematical Physics.
Specific Areas of Interest:
Adaptive Finite Element Methods,
Geometric PDE,
Biophysics,
General Relativity.
Information about the MCP Group:
The group has active ongoing research projects and
publishes in the following areas:
 Numerical Analysis and Approximation Theory
[10,
15,
17,
24,
25,
26,
29,
30,
33,
37,
38,
52,
53,
58,
59,
60,
61,
63,
64,
65,
66,
67,
68,
71,
72,
73,
78,
80,
84,
88,
89]
 Nonlinear Functional Analysis and Nonlinear PDE
[13,
39,
47,
48,
54,
60,
64,
68,
73,
82,
83,
86,
87]
 Geometric PDE/Global Nonlinear Analysis/General Relativity
[12,
24,
31,
47,
48,
53,
54,
72,
73,
82,
83,
86,
87]
 NavierStokes, Euler, MHD, Elasticity
[13,
39,
54,
70]
 Electrostatics and Solvation Models in Biophysics
[3,
4,
5,
6,
10,
11,
19,
20,
21,
22,
23,
38,
44,
51,
52,
55,
65,
71]
 ReactionDiffusion Models in Physics and Biophysics
[1,
27,
32,
34,
35,
36,
40,
41,
45,
46,
56,
57,
62,
69,
74,
77,
81]
 Computational Geometry and Mesh Generation Algorithms
[14,
42,
43,
49,
50,
59,
76,
79]
 Parallel Computing Algorithm Design and Analysis
[2,
16,
18,
21,
23,
28]
 Papers in other areas
[75,
85]
The MCP group meets in subgroups for research discussions
at various times during the week, and also takes part in the weekly
CCoM
and
CSME
seminars.
The research program of the group centers around mathematical and/or numerical
analysis problems in partial differential equations (PDE), usually involving
PDE systems arising in either biophysics (PDE models of biological systems)
or astrophysics (PDE problems in general relativity).
Our analysisoriented research involves the intersection
of ideas and techniques from nonlinear PDE, linear and nonlinear functional
analysis, differential geometry, and global nonlinear analysis.
Our numerical analysisoriented research typically involves a further
combination of these techniques with modern approximation theory,
iterative algorithms for linear and nonlinear equations,
finite elementtype numerical methods, and modern parallel computers.
Our simulationbased work often involves the use and/or development of
The Finite Element ToolKit (FETK).
Graduate students in the group usually pursue their M.S. and/or Ph.D. degrees
in the Mathematics or Physics Departments with Michael Holst,
with a formal Specialization in Computational Science
through the graduate
Program in Computational Science,
Mathematics, and Engineering (CSME).
EMail Lists (IMPORTANT):
If you are working with Michael Holst as an MS or Ph.D. student,
or as postdoctoral fellow, then you are a member of the ``MCP Group''.
Emails will be periodically sent out about group meetings and other events
to the MCPL email list (see below).
You should try to attend the CCoM and CSME seminars that
are usually held on Tuesdays and Thursdays at 11am in 2402 AP&M.
The seminar titles and abstracts for all CCoM and CSME seminars
are posted on the
CCoM/CSME Seminar website.
The seminars are are also announced on one or more of the following
email lists; if you are in the MCP group, you should selfsubscribe to
all three of the following email lists by clicking on the links below:
Current and former MCP senior research scientists working with Holst:

Gabriel Nagy
(Ph.D. 1995, Theoretical Physics, University of Cordoba, Argentina;
now at Michigan State University)

Mai H. Nguyen
(Ph.D. 1995, Computer Science, UC San Diego)

Daniel Reynolds
(Ph.D. 2003, Computational and Applied Mathematics, Rice University;
now at SMU)
 Olivier Sarbach (Ph.D. 2000, Mathematical Physics, ETH;
now at University Michoacana)
 Ivar Stakgold (Ph.D. 1949, Harvard; Emeritus Professor of Mathematical Sciences, University Delaware)
 Herb Keller (Ph.D. 1954, NYU; Emeritus Professor of Applied Mathematics, Caltech)

Lee Lindblom
(Ph.D. 1974, Physics, University of Maryland)

Manuel Tiglio
(Ph.D. 2000, Physics, University of Cordoba, Argentina)
Current and former MCP postdoctoral researchers working with Holst:

Ali Behzadan
(Ph.D., 2015, Mathematics, UCSD; now at UCSD)

James Dilts
(Ph.D., 2015, Mathematics, University of Oregon; now at UCSD)

Caleb Meier (Ph.D., 2012, Mathematics, UCSD; now at Parsons Corporation)

Sara Pollock (Ph.D., 2012, Mathematics/CSME, UCSD;
now at Texas A&M)

Andrew Gillette (Ph.D. 2011, Mathematics, UT Austin;
now at Univ. of Arizona)

Ari Stern (Ph.D. 2008, Applied and Computational Math., Caltech;
now at Wash. Univ.)

Yunrong Zhu (Ph.D. 2008, Mathematics, Penn State University;
now at Idaho State Univ.)

Ryan Szypowski (Ph.D. 2008, Mathematics, UCSD;
now at Cal Poly Pomona)

Evelyn Lunasin (Ph.D. 2007, Mathematics, UC Irvine;
now at University of Michigan)

Gantumur Tsogtgerel (Ph.D. 2006, Mathematics, Utrecht;
now at McGill University)

Yongcheng Zhou (Ph.D. 2006, Mathematics, MSU;
now at Colorado State Univ.)

Zeyun Yu (Ph.D. 2006, Computer Science, UT Austin;
now at University WisconsinMilwaukee)

Yuhui Cheng (Ph.D. 2007, Physical Chemistry, UCSD;
now at Pacific Northwest National Laboratory)

BenZhuo Lu (Ph.D. 2002, Biophysics,
Univ. of Sci. and Tech. of China;
now at Chinese Academy of Sciences)

Axel Malqvist
(Ph.D. 2005, Applied Mathematics, Chalmers University;
now at Chalmers University)

Long Chen (Ph.D. 2005, Mathematics, Penn State;
now at UC Irvine)

Jennifer Erway (Ph.D. 2006, Mathematics, UCSD;
now at Wake Forest)
 Jason Suen (Ph.D. 2002, Chemical Engineering, MIT;
now at UCLA)

Hugh MacMillan (Ph.D. 2001, Mathematics, University of Colorado;
now at the nonprofit Food & Water Watch)

Steve Bond (Ph.D. 2000, Mathematics, University of Kansas;
now at Sandia National Laboratory)

Feng Wang (Ph.D. 1997, PSU Mathematics;
founder of Math Zoom Academy)
Current and former MCP doctoral students working with Holst
(some coadvised with others):
 Francesca Grogan
(mathematics/CSME doctoral student, UCSD)

Mohammad Ali Ebrahimi
(mathematics/CSME doctoral student, UCSD; advanced to candidacy)

John Moody
(mathematics/CSME doctoral student, UCSD; advanced to candidacy)

Ali Behzadan
(Ph.D., 2015, Mathematics, UCSD; now at UCSD)

Chris Tiee
(Ph.D., 2015, Mathematics, UCSD; now at UCSD)

Shi (Fox) Cheng
(Ph.D., 2015, Mathematics/CSME, UCSD; now at Startup Company)
 Houdong Hu (Ph.D., 2014, Physics/CSME, UCSD;
now at Microsoft)

Adam Mihalik (Ph.D., 2014, Mathematics/CSME, UCSD;
now at Dallas Startup)

Caleb Meier (Ph.D., 2012, Mathematics, UCSD;
now at Parsons Corporation)
 Jonny Serencsa (Ph.D., 2012, Mathematics/CSME, UCSD;
now at Platfora Corporation)

Sara Pollock (Ph.D., 2012, Mathematics/CSME, UCSD;
now at Texas A&M)

Ryan Szypowski (Ph.D. 2008, Mathematics, UCSD;
now at Cal Poly Pomona)
 Liz Fenwick (Ph.D. 2005, Mathematics, UCSD;
now at FarTech, Inc.)
 Kevin Scully (Ph.D. 2003, Mathematics, UCSD;
now at Aerospace Corp.)

Kaihsu Tai (Ph.D. 2002, Chemistry, UCSD, joint w/
J.A. McCammon
and
Palmer W. Taylor;
now at ECA/Helsinki)

Nathan Baker (Ph.D. 2001, Chemistry, UCSD, joint w/
J.A. McCammon;
now at Pacific Northwest National Laboratory)

Burak Aksoylu (Ph.D. 2001, Mathematics, UCSD;
now at ETU)
Current and former MCP undergraduate students working with Holst:
 Michael Olsen (20142015, Mathematics, UCSD; Math Honors Thesis)
 Hayley MilesLeighton (20092010, Mathematics, UCSD; Math Honors Thesis)
 Nicholas Miller (20082010, Mathematics, UCSD; Math Honors Thesis)
 Jessica Lee (2009, Mathematics, UC Santa Cruz, Undergraduate Research Student)
 Kathryn Farrell (20082009, Mathematics, UCSD; Math Honors Thesis; Silagi Award)
 Cynthia Wood (2008, Mathematics, UCSD; CAMPS Summer Internship)
 Jennifer Webster (20072008, Mathematics, UCSD; Math Honors Thesis)
 Erik Eldridge (20072008, Computer Science, CSU San Marcos; CTBP Academic Year and Summer Internships)
 Jonathan Kommemi (20062008, Mathematics, UCSD; Enrichment/CalIT2 Program, Math Honors Thesis)
 Brian Nguyen (2006, Mathematics, UCSD; CalIT2 Summer Research Program)
 Patrick Sanan (2006, Mathematics, UCSD; Undergraduate Research Student)
 Ronald Page II (2006, Mathematics, UC Berkeley; UC STARS/UC LEADS Summer Research Program)
 James Noble (2003, Mathematics, UCSD; Math Honors Thesis)
 John Kleint (2002, Mathematics, UCSD; CalIT2 Summer Research Program)
