Recent Research Articles
 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 [grqc] 7 Nov 2020 Published RSPA, 16 Sept, 2020.
 On the Regularity Implied by the Assumptions of Geometry,
arXiv:1912.12997 [grqc] 26 Nov 2020
 Optimal Metric Regularity in General Relativity follows from the RTequations by Elliptic Regularity Theory in Lpspaces,
arXiv:1808.06455v2 [grqc] 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 [grqc] 24 Sep 2018, To appear Adv. Theor. Math. Phys.
 Shock Wave Interactions and the Riemannflat condition: The Geometry Behind Metric Smoothing and the Existence of Locally Inertial Frames in General Relativity,
arXiv:1610.02390v4 [grqc] 22 Aug 2018, Arch. Rat. Mech. Anal., 235, pages 18731904 (2020)
 Inversion of a nonuniform difference operator,
arXiv:1810.05718v1 [grqc] 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 SelfSimilar 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/nonexclusivedistrib/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 UltraRelativistic Euler Equations
Brian Wissman, CMP July 2011
 A Paradigm for timeperiodic sound wave propagation in the Compressible Euler Equations
Meth Appl Anal, September, 2009
 Timeperiodic Linearized solutions of the Compressible Euler Equations and a problem of small divisors
SIAM Jour Math Anal, 2011
 A LiapunovSchmidt reduction for timeperiodic 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
 ShockWave Interactions in General Relativity
Springer Lecture Notes 2007

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 912,2019.
(In memory of Joel Smoller)
 Causal Dissipation for the Relativistic Fluid Dynamics of Ideal Gases,
UCDavis, UCRiverside, UCBerkeley, 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 UCBerkeley, October 2014; Colloquium UCDavis 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 19801995 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 ShockWave Cosmology,
New Orleans, January 2007
 ShockWave 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 ShockWaves and General Relativity,
Three Lectures, Cambridge University, July 2003
