BLAKE   TEMPLE

Distinguished Professor
Department of Mathematics
UC-Davis

Contact Information

Dept. Address:	Department of Mathematics University of California One Shields Avenue Davis, CA 95616-8633 Dept Fax: (530) 752-6635
Office:	3148 Mathematical Sciences Building
Phone Number:	(530) 752-2214 (office)
E-mail:	temple@math.ucdavis.edu
Faculty Profile:	http://www.math.ucdavis.edu/research/profiles/temple

Recent Research

• Honorary Conference, National Taiwan University, April 4-7, 2026.
  
  
• Poster: Honorary Conference, National Taiwan University, April 4-7, 2026.
  
  
• Talk: ``Forty Years of Math Memories'', Taipei, April 4, 2026.
  
  
• Poster-Distinguished Lecture Series, Polytechnic University of Hong Kong, April 2026.
  
  
• Poster-Colloquium Lecture Taiwan, April 2026.
  
  
• Talk: "The instability of critical and under-dense Friedmann spacetimes at the Big Bang as an alternative to Dark Energy", Taipei and Hong Kong, April 2026.
  
  
• Talk: "On the essential regularity of singular connections in geometry", Nonlinear Analysis Center, Central Taiwan University, April 15, 2026.
  
  

• Expanding Spacetimes which Characterize the Radial Instability of Critical and Under-dense Friedmann Spacetimes
  VandyGRAF Seminar Series, Vanderbilt University, April 11, 2025.
  

• On the Essential Regularity of Singular Connections in Geometry,
  Nonlinear Analysis Seminar, National Taiwan Normal University, Taiwan, October 15 2024.
  

• Periodic Solutions of the Compressible Euler Equations and the Nonlinear Theory of Sound,
  Distinguished Colloquia, City University of Hong Kong, Chinese University of Hong Kong, April 13 & 17, 2023.
  

• On the Regularity Implied by the Hypotheses of Geometry,
  Mathematics Colloquium, University of California Berkeley, October 28, 2021.
  Zoom Recording: https://berkeley.zoom.us/rec/share/fwvVqesd7omXCkcd2fBVYGuRt8QQrn0I0NuYgfrlTsMyTItIbDKMAS1RQ6kOCMnF.V_XNVHi46C89sPO0 Passcode: 2$nCr.C@

• How to Smooth a Crinkled Map of Spacetime,
  arXiv:1812.06795v5 [gr-qc] 7 Nov 2020 Published RSPA, 16 Sept, 2020.

• On the Regularity Implied by the Assumptions of Geometry, arXiv:1912.12997 [gr-qc] 26 Nov 2020

• Optimal Metric Regularity in General Relativity follows from the RT-equations by Elliptic Regularity Theory in Lp-spaces, arXiv:1808.06455v2 [gr-qc] 23 Aug 2018, To appear Meth. Appl. Anal.

• The Regularity Transformation Equations: An Elliptic Mechanism for Smoothing Gravitational Metrics in General Relativity, arXiv:1805.01004v3 [gr-qc] 24 Sep 2018, To appear Adv. Theor. Math. Phys.

• Shock Wave Interactions and the Riemann-flat condition: The Geometry Behind Metric Smoothing and the Existence of Locally Inertial Frames in General Relativity, arXiv:1610.02390v4 [gr-qc] 22 Aug 2018, Arch. Rat. Mech. Anal., 235, pages 1873-1904 (2020)

• Inversion of a non-uniform difference operator, arXiv:1810.05718v1 [gr-qc] 12 Oct 2018

• An Instability in the Standard Model of Cosmology creates the Anomalous Acceleration without Dark Energy, Proc. Roy. Soc., November 22, 2017

• Causal dissipation for the fluid dynamics of ideal gases, Proc. Roy. Soc, April 2017.
  

• An Alternative Proposal for the Anomalous Acceleration
  Surveys in Differential Geometry, Vol. 20 (2015): One Hundred Years of General Relativity, edited by S.T. Yau, Harvard and L. Bieri, Michigan, Einstein Centennial Jubilee.
  

• No Regularity Singularities exist at points of general relativistic shock wave interaction between shocks from different characteristic families
  RSPA, March 20, 2014
  

• Causal Dissipation and Shock Profiles in the Fluid Dynamics of Pure Radiation
  RSPA, March 20, 2014
  

• Simulation of general relativistic shock wave interactions by a locally inertial godunov method featuring dynamical time dilation
  Proc. Roy. Soc. A, Published online, 4 April 2012.

• General Relativistic Self-Similar Waves that induce an Anomalous Acceleration into the Standard Model of Cosmology
  Memoirs of the AMS, November 3, 2011.
  

• A one parameter family of expanding wave solutions of the Einstein equations that induces an anomalous acceleration into the Standard Model of Cosmology
  PNAS, August 25, 2009
  http://arxiv.org/licenses/nonexclusive-distrib/1.0/

• Answers to Questions posed by Reporters:
  PNAS August 17, 2009

• The Numerical Simulation of General Relativistic Shock Waves by a Locally Inertial Godunov Method Featuring Dynamical Time Dilation
  Zeke Vogler, Doctoral Dissertation, March 2010

• Global Solutions to the Ultra-Relativistic Euler Equations
  Brian Wissman, CMP July 2011

• A Paradigm for time-periodic sound wave propagation in the Compressible Euler Equations
  Meth Appl Anal, September, 2009

• Time-periodic Linearized solutions of the Compressible Euler Equations and a problem of small divisors
  SIAM Jour Math Anal, 2011

• A Liapunov-Schmidt reduction for time-periodic solutions of the Compressible Euler Equations
  Meth Appl Anal, (to appear)

• Linear waves that express the simplest possible periodic structure of the compressible Euler equations
  Acta Mathematica Scientia, (Special Issue J. Glimm), 2009

• Shock-Wave Interactions in General Relativity
  Springer Lecture Notes 2007

Visualization/Media Articles

• ,News Articles-Dark Energy 2018

• News Articles-GR Expandng Wave 2009

• News Articles-Shock Wave Cosmology 2003

• Shock-Wave Cosmology Visualization

Conference/Seminar Talks

• The Regularity Transformation Equations: How to smooth a crinkled map of spacetime,
  Conference on Nonlinear Partial Differential Equations and Applications, University of Michigan, July 9-12,2019. (In memory of Joel Smoller)
  

• Causal Dissipation for the Relativistic Fluid Dynamics of Ideal Gases,
  UC-Davis, UC-Riverside, UC-Berkeley, 2017.
  

• An Instability in the Standard Model of Cosmology Creates the Anomalous Acceleration without Dark Energy,
  Plenary Address, Harvard, April 8, 2016; Colloquium ETH Zurich, Switzerland, March 24, 2015; Colloquium UCD Mechanical Eng., February 2015; Colloquium UC-Berkeley, October 2014; Colloquium UC-Davis Mathematics October 2014; Plenary Talk Conference in honor of Eitan Tadmore, May 2014.
• Summary
  

• Applied Mathematics vs Dark Energy,
  Plenary Address, National Colloquia of the Brazilian Mathematical Society, Rio De Janeiro, Brazil, July 2015; Invited one hour talk, Spring Western Sectional Meeting of AMS, Special Session on Conservation Laws, April 18, 2015.
  

• Nonlineaer Resonance 1980-1995 with Eli Isaacson,
  Invited hour talk, National Colloquia of the Brazilian Mathematical Society, Rio De Janeiro, Brazil, July 2015.
  

• Numerical Simulation of GR Shock Waves by a Locally Inertial Godunov Method with Dynamic Time Dilation, University of Wyoming, June 2010, (Workshop on Conservation Laws); Philadephia, August 2010 (SIAM Special Session on Numerical Relativity); Konstanz University, Germany October 2010 (Applied Math Seminar)
  

• Periodic Solutions of the Compressible Euler Equations, Gehring Professor, University of Michigan
  Fall 2007 (2 seminar talks)

• Periodic Solutions of the Compressible Euler Equations, Gehring Professor, University of Michigan
  Fall 2007 (Colloquium)

• Numerical Shock-Wave Cosmology,
  New Orleans, January 2007

• Shock-Wave Cosmology - Inside a Black Hole,
  Academy Public Lecture, Indian National Academy of Sciences, Bangalore, January 2006

• Locally Inertial Glimm Scheme for General Relativity,
  Plenary Talk, Stonybrook, July 2004

• Introduction to Shock-Waves and General Relativity,
  Three Lectures, Cambridge University, July 2003

Undergraduate Research

• Stability Results in the Theory of Relativistic Stars
  by Assad Lodia (Senior)
  Summer Research Supported by NSF

• Why the curvature tensor needs 20 independent components
  by David Melgin (Senior)
  Summer Research Supported by NSF

• Adding Lagrange Multipliers to the Schwarzschild Geometry
  by David Melgin (Senior)
  Summer Research Supported by NSF

• The p-system
  by Shane Austin (Freshman)
  Summer Research Supported by NSF

Miscellaneous

• The Starting Theory Behind Playing Jazz Piano

• Everything Blue Moon--Blake Temple, Jazz Improvisation, Odd Fellows Cocktail Hour, Davis California, October 2023-- ``Sitting back after work, you take the first sip of your ice cold martini, and the lounge lizard begins to play the piano...''

• Memories of Skeleton Lake by Paul Temple

• CANOL PROJECT W.W.II by Paul Temple

• The Lost Notebook of Mathematician James G. Wendel

Course Links

• Course Website for MAT 16A

• Course Website for MAT 21B

• Course Website for MAT 21C

• Course Website for MAT 21D

• Course Website for MAT 22C

• Course Website for MAT 25

• Course Website for MAT 125A

• Course Website for MAT 116

• Course Website for MAT 119A

• Course Website for MAT 167

• Course Website for MAT 180 Introduction to General Relativity

• Course Website for MAT 185A

• Course Website for MAT 280 Shock-Waves

• Course Website for MAT 280 Introduction to Differential Geometry & General Relativity