
Michael Holst is a Distinguished Professor of Mathematics and Physics at UC San Diego.
He is a core faculty member in both
the Center for Computational Mathematics
(CCoM)
and
the Center for Astrophysics and Space Sciences
(CASS).
He works broadly in numerical analysis, applied analysis,
partial differential equations, and mathematical physics,
with a particular focus on mathematical and numerical general relativity.
He grew up in Colorado,
earned a B.S. from Colorado State University in 1987,
and received a Ph.D. from the University of Illinois in 1993.
He was a von Karman Instructor and Prize Research Fellow in Applied
Mathematics at Caltech from 19931997, and was an Assistant Professor of
Mathematics at UC Irvine from 19971998, before moving to the Mathematics
Department at UC San Diego in 1998.
He was promoted to tenured Associate Professor in 2000,
to Professor of Mathematics in 2003, and
appointed as Professor of Physics in 2009.
He is the recipient of an
NSF CAREER Award
and a
Hellman Fellowship,
and is coauthor of a graduate textbook
on applied analysis and partial differential equations with Ivar Stakgold.
He was selected as a
SIAM Fellow in 2016,
and currently holds a
Chancellor's Associates Endowed Chair at UCSD.
Prof. Holst directs the Mathematical and Computational Physics Research Group
(MCP) within the
Mathematics
and
Physics
Departments at
UCSD,
and is the lead developer and architect of the
Finite Element ToolKit (FETK).
He currently serves as one of the three founding CoDirectors of the
Center for Computational Mathematics
(CCoM)
within the Mathematics Department.
He was a founding CoDirector for the interdisciplinary
M.S. and Ph.D. Programs in Computational Science, Mathematics,
and Engineering
(CSME),
and served as the lead director from the founding of the
Program in 2007 through 2020.
He is involved in a number of interdisciplinary research
institutes and research training programs on campus,
including the Center for Computational Mathematics
(CCoM),
and
the Center for Astrophysics and Space Sciences
(CASS).
His research is supported by NSF, NIH, DOE, AFOSR, and DTRA,
as well as by industrial sponsors and private foundations.
As of 2022, he has been the primary supervisor for
18 completed doctoral students,
29 postdoctoral students,
and
23 undergraduate honors thesis and/or REU summer research students,
of which 5 went on to complete doctorates in pure or applied mathematics
at Cambridge, Caltech, Purdue, CMU, and UT Austin.
He has also been a mentor for 2 high school students who qualified for
ISEF.
The navigation bar to the left has links to more detailed information
about Prof. Holst's research and education activities.
Group Blog:
 The NSFfunded mathematics institute
ICERM
is hosting a special program on
Advances in Computational Relativity
over the entire Fall 2020 term (September 9December 11, 2020).
I had planned to be in residence at ICERM all Fall as part of a
yearlong sabbatical, but the Covid19
pandemic has led to a number of scheduling changes.
This workshop is now being done mostly remotely over Zoom.
I will still be taking part, but from San Diego; if you are interested
in the subject and/or the lectures, a link to the program is
[ here ].
 A youtube video of our recent research work was released in January 2020, and can be found [ here ].
The video illustrates the meshing technology described in our newly
published article:
An Open Source Mesh Generation Platform for Biophysical Modeling Using Realistic Cellular Geometries.
Credit for the video and much of the technology behind it goes to
UCSD Postdoctoral Researcher Chris Lee, and to my other collaborators in the
Rangamani Research Lab in MAE at UCSD.
 Together with Doug Arnold, David Garfinkle, Luis Lehner,
and Reinout Quispel, I coorganized a workshop at the
Isaac Newton Institute for Mathematical Sciences at Cambridge University
in England that will run from September 30, 2019 through October 4, 2019.
The workshop on
Structure Preservation and General Relativity
is part of the larger Program on
Geometry, Compatibility and Structure Preservation in Computational Differential Equations
that is running at the Newton Institute in Fall 2019.
I gave one of the opening lectures at the workshop on
Some Research Problems in Mathematical and Numerical General Relativity.
The slides from the lecture can be found
[ here ],
and an abstract and the video of the lecture can be found
[ here ].
The video may also be accessed in various formats here
[ m4v
 mp4
 webm
 mp3 ]
 In January 2018, we will be running a UCSD workshop and
jointly organizing a related multipart minisymposium at the
JMM Conference at the San Diego Convention Center; see the
GPDE2018
website for more information about the workshop and the JMM minisymposium.
 The 2017 Nobel Prize in Physics was awarded to three of the key scientists
involved in the development of LIGO and its eventual successful first
detections of gravitational waves.
The official announcement can be found
[ here ].
 Our group was approached by the AMS for a survey article on mathematical
and numerical general relativity, to help explain to the broader
mathematical sciences community the mathematics, science, and
technology behind the recent gravitational wave detections
(there have now been several detections).
The article will appear in the October 2016 issue of the Bulletin of the
American Mathematican Society, and when available it will be
published online
[ here ].
 At 10:30am EST on 11 February 2016, the National Science Foundation,
together with the LIGO Scientific Collaboration, announced that the
first direct detection of a
gravitational wave was made on 14 September 2015
by the twin LIGO devices
located in Livingston, Louisiana and Hanford, Washington.
The LIGO project, which at over 600 million dollars is the single
most ambitious and expensive scientific project ever supported by NSF,
represents an incredible scientific and engineering achievement.
This successful detection will substantially change astronomy and other
areas of physics forever, and
the discovery is viewed as comparable in
importance to the recent discovery of the Higgs Boson using the
Large Hadron Collider.
Our group put together some additional information about the LIGO Project
for my graduate students, which can be found
[ here ].
Links to the announcement and joint press conference by
NSF and by the LIGO Scientific Collaboration, and a link to
the Phys. Rev. Lett. article on the discovery that was published
online simultaneously with the announcement, can be found below:
 The year 2015 is the onehundred year anniversary of the
theory of general relativity;
in celebration, there are a number of local, regional, national, and
international workshops and conferences being held this year.
One such conference is the
Focus Program on 100 Years of General Relativity
being held at the Fields Insitute in Toronto during May and June 2015.
As part of this conference, I coorganized one of the
Focus Weeks on
Constraint Equations and MassMomentum Inequalities,
and he gave two of the overview talks.
The slides from the talks can be found
[ here ].
 The 31st Pacific Coast Gravity Meeting is being held at the University of
Oregon on March 1314, 2015.
It is being coorganized by CCoM at UCSD and local organizers in Oregon.
For more information see the
PCGM31
Conference Website.
 In July 2014, NSF announced that a collaborative team of mathematicians
at the Center for Computational Mathematics (CCoM) at
UCSD had received a 5year $1.8M NSF Research Training Group (RTG) Award.
This NSF RTG Award will fund up to five UCSD Mathematics doctoral students
participating in the CSME Doctoral Program, as well as provide funding
for up to two named CCoM Postoctoral Fellowships each year of the award.
CCoM mathematicians Randy Bank, Philip Gill, Michael Holst, Melvin Leok,
and David Meyer are the principle invesigators of the NSF Award.
For more information about the project, see the
RTG
Project Website.
 Our research group and CCoM at UCSD will be hosting the
30th Pacific Coast Gravity Meeting on March 2829, 2014.
For more information see the
PCGM30
Conference Website.
 In April 2013, NSF announced that a collaborative team of mathematicians
and mathematical physicists at Stanford University, UCSD,
the University of Oregon, and the University of Alaska
had received a $798K NSF Focussed Research Group (FRG) Award.
The FRG funding award will allow the team to tackle several
longstanding open problems in mathematical general relativity.
UCSD Mathematician Michael Holst (PI) leads the UCSD portion of the project.
For more information about the project, see the
FRG
Project Website, or the announcement on the
NSF Website.
 In January 2013, we will be running a UCSD workshop and
jointly organizing a related multipart minisymposium at the
JMM Conference at the San Diego Convention Center; see the
GPDE2013
website for more information about the workshop and the JMM minisymposium.
 During the 20112012 academic year we will run a
Reading Course/Seminar Series
in the overlapping areas of mathematical and numerical general relativity.
There will be about 68 talks spread throughout the Fall quarter,
with a few additional seminars in the Spring quarter.
For the schedule of talks, see the
MNGR Seminar Series
webpage.
We are also running a related UCSD workshop and multipart minisymposium
at the SIAM PDE Conference in November; see the
GPDE2011
website.
In May 2012, we will hold the Southern California Analysis and Partial
Differential Equations Conference (SCAPDE) at UCSD, with a
focus on mathematical and numerical general relativity; see the
SCAPDE
website.
 In July 2011, NSF announced that a collaborative team of mathematicians at
UCSD, Caltech, and Colorado State University
had received a $1.1M NSF Focussed Research Group (FRG) Award.
The FRG funding award will allow the team to tackle several
open problems in numerical general relativity,
the solutions of which could have impact on gravitational wave simulation
efforts (such as LIGO, VIRGO, and other gravity wave detection devices).
UCSD is the lead institution in the FRG project, and UCSD Mathematicians
Michael Holst (PI) and Melvin Leok (CoPI) lead the UCSD portion of the project.
For more information about the project, see the announcement on the
NSF Website.
 In June 2010 the source code tree for the entire
FETK Project
was released under the GNU LGPL (GNU Library General Public License).
For more information about FETK, see the
FETK Website.
 In Spring 2008,
the Center for Computational Mathematics (CCoM)
was founded as a UCdesignated Research Center at UC San Diego.
The Center was formed by a group of UCSD faculty with common interests
in the areas of computational and applied mathematics,
and is supported by the UCSD Division of Physical Sciences
and by funding awards of the individual CCoM Faculty.
CCoM faculty, together with other UCSD faculty and faculty at other
institutions, have organized and coorganized a sequence of regional,
national, and international workshops and conferences
over the last several years, including:
 FRGGR11:
FRG: Analysis of the Einstein Constraint Equations, Workshop 11
(July 2019)
 GPDE2018/FRGGR10:
GR and Finite Element Exterior Calculus
(January 2018)
 PCGM31:
31st Pacific Coast Gravity Meeting (March 2015, held at Oregon)
 FRGGR5:
FRG: Analysis of the Einstein Constraint Equations, Workshop 5
(January 2015)
 PCGM30:
30th Pacific Coast Gravity Meeting (March 2014)
 FRGGR2:
FRG: Analysis of the Einstein Constraint Equations, Workshop 2
(March 2014)
 GPDE2013:
Geometric Numerical Methods for PDE
(January 2013)
 SCAPDE:
Southern California Analysis and PDE Conference
(May 2012)
 GPDE2011:
Geometric Numerical Methods for PDE
(November 2011)
 RPCCT2011:
Rough Paths and Combinatorics in Control Theory (July 2011)
 DD20:
20th International Conference on Domain Decomposition Methods
(February 2011)
 SI2010:
6th Annual Structured Integrators Workshop (April 2010)
 PCGM26:
26th Pacific Coast Gravity Meeting (March 2010)
 REB60:
Workshop on Adaptive and Multilevel Methods for PDE
(November 2009)
 In Fall 2007 (PhD) and Fall 2010 (MS), the
CSME Graduate Program
was officially launched by UCSD.
Complete information about the new CSME Graduate Programs,
which are the first degreegranting Computational Science Graduate
Programs in the UC System, can be found on the
CSME Website.
Since 2007, we have run a campuswide CSME Seminar Series
covering a broad range of topics in applied mathematics,
physical sciences, and computational science.
The CSME series, with typically 23 lectures each quarter, complements
the weekly CCoM Seminars as well as other seminars that run each quarter.
The CSME Seminar Speakers include both UCSD faculty as well as visiting
faculty from other institutions.
The seminar titles and abstracts for CSME and CCoM Seminars are posted
on the
CCoM/CSME Seminar website
and are also announced on the CSMEL mailing list.
For information about getting onto the CSMEL and related email lists,
see the
MCP group webpage.
