About

I am an associate professor in the math department at Texas A&M University. Before coming here I was a Boas Assistant Professor at Northwestern University. I received my Ph.D. from Stanford University in 2010. I was a student of Rafe Mazzeo and András Vasy. I am supported by NSF CAREER grant DMS-1654056.

My research is in partial differential equations generally and in geometric microlocal analysis more specifically. I am particularly interested in the study of wave-like equations on singular backgrounds.

If you are a student interested in working with me, you should take the real analysis qualifying exam (the complex analysis qualifying exam is OK, too, but the real analysis exam is preferable). For the other qualifier, you should likely take the geometry/topology exam, as much of the analysis I do takes place on manifolds.

Teaching

I am on faculty development leave for AY 2020–2021 and so am not currently teaching. I am still (virtually) organizing the graduate student writing groups, so please contact me if you would like to join them.

In the past I have taught the following courses at Texas A&M:

- Math 151H (Engineering Calculus I, Honors, Fall 2018)
- Math 171 (Calculus I, Spring 2020)
- Math 221 (Calculus III, Fall 2014)
- Math 304 (Linear Algebra, Spring 2015)
- Math 308 (Differential Equations, Fall 2015)
- Math 323 (Linear Algebra, Fall 2017)
- Math 460 (General Relativity, Fall 2015)
- Math 622 (Differential Geometry I, Spring 2017)
- Math 623 (Differential Geometry II, Fall 2017)
- Math 689 (A graduate topics course on microlocal analysis, Fall 2015)

Preprints

- Baskin, D., & Marzuola, J. L. (2019).
*The radiation field on product cones*.

rfcone [38 pages] arXiv link - Baskin, D., & Wunsch, J. (2020).
*Diffraction for the Dirac–Coulomb propagator*.

dirac-coulomb [51 pages] arXiv link

Published papers

- Baskin, D. (2010). A parametrix for the fundamental solution for the Klein-Gordon equation on asymptotically de Sitter spaces.
*J. Funct. Anal.*,*259*(7), 1673–1719.

pkgeads [40 pages] Journal link arXiv link - Baskin, D. (2010). A Strichartz estimate for de Sitter space. In
*The AMSI-ANU Workshop on Spectral Theory and Harmonic Analysis*(Vol. 44, pp. 97–104). Austral. Nat. Univ., Canberra.

desitter [10 pages] Journal link arXiv link - Baskin, D. (2013). Strichartz estimates on asymptotically de Sitter spaces.
*Ann. Henri Poincaré*,*14*(2), 221–252.

slwads [36 pages] Journal link arXiv link - Baskin, D., & Sá Barreto, A. (2015). Radiation fields for semilinear wave equations.
*Trans. Amer. Math. Soc.*,*367*(6), 3873–3900.

rfslw [23 pages] Journal link arXiv link - Baskin, D., & Wunsch, J. (2013). Resolvent estimates and local decay of waves on conic manifolds.
*J. Differential Geom.*,*95*(2), 183–214.

conedecay [31 pages] Journal link arXiv link - Baskin, D. (2014). Equipartition of energy in geometric scattering theory.
*J. Anal. Math.*,*123*, 341–353.

eegst [11 pages] Journal link arXiv link - Baskin, D., Marzuola, J. L., & Wunsch, J. (2014). Strichartz estimates on exterior polygonal domains. In
*Geometric and spectral analysis*(Vol. 630, pp. 291–306). Amer. Math. Soc., Providence, RI.

strichartz-polygon [16 pages] Journal link arXiv link - Baskin, D., Vasy, A., & Wunsch, J. (2015). Asymptotics of radiation fields in asymptotically Minkowski space.
*Amer. J. Math.*,*137*(5), 1293–1364.

radfielddecay [67 pages] Journal link arXiv link - Baskin, D., & Wang, F. (2014). Radiation fields on Schwarzschild spacetime.
*Comm. Math. Phys.*,*331*(2), 477–506.

rfss [33 pages] Journal link arXiv link - Baskin, D., Spence, E. A., & Wunsch, J. (2016). Sharp high-frequency estimates for the Helmholtz equation and applications to boundary integral equations.
*SIAM J. Math. Anal.*,*48*(1), 229–267.

bsw [42 pages] Journal link arXiv link - Baskin, D., Vasy, A., & Wunsch, J. (2018). Asymptotics of scalar waves on long-range asymptotically Minkowski spaces.
*Adv. Math.*,*328*, 160–216.

lr-radfield [51 pages] Journal link arXiv link - Baskin, D., & Marzuola, J. L. (2019). Locating the resonances on hyperbolic cones.
*Math. Res. Lett.*,*26*(2), 365–381.

resonances [11 pages] Journal link arXiv link - Baskin, D., & Yang, M. (2020). Scattering resonances on truncated cones.
*Pure Appl. Anal.*,*2*(2), 385–396. https://doi.org/10.2140/paa.2020.2.385

rescone [11 pages] Journal link arXiv link - Baskin, D., Gell-Redman, J., & Han, X. (2021). Riemann moduli spaces are quantum ergodic.
*J. Diff. Geom. (to Appear)*.

QEmoduli [15 pages] arXiv link

Expository
papers

- Baskin, D., & Mazzeo, R. (2013). Some global aspects of linear wave equations. In
*Evolution equations*(Vol. 17, pp. 73–95). Amer. Math. Soc., Providence, RI.

clay-survey [31 pages] Journal link arXiv link - Baskin, D., & Sá Barreto, A. (2013). A support theorem for a nonlinear radiation field. In
*Microlocal methods in mathematical physics and global analysis*(pp. 111–112). Birkhäuser/Springer, Basel. - Baskin, D. (2017). An explicit description of the radiation field in 3+1-dimensions. In T. Kakehi (Ed.),
*Spectral and scattering theory and related topics. Proceedings of a symposium held at the Research Iinstitute for Mathematical Sciences, Kyoto University, Kyoto, Japan, January 20–22, 2016*(Vol. 2023, pp. 40–49). Kyoto University.

rims [10 pages] arXiv link - Baskin, D. (2021). "Mathematical Theory of Scattering Resonances" by S. Dyatlov and M. Zworski.
*Bull. Amer. Math. Soc.*

DZbook [3 pages]

Collaborators

Seminar
organization

I am an occasional organizer and regular participant in the following two seminars at Texas A&M:

- Mathematical Physics, Harmonic Analysis, and Differential Equations seminar (link to schedule)
- Analysis and PDE learning seminar (link to schedule)

Conference organization

I was also an organizer of the following conferences/workshops:

- The 56th and 62nd meetings of the Texas Geometry and Topology Conference (with J.M. Landsberg and Igor Zelenko), held in 2016 and 2019 at Texas A&M University.
- The Third Symposium on Scattering and Spectral Theory (with Raphael Hora, Gerardo Mendoza, Wagner Muniz, and Antônio Sá Barreto), held July 17 to 28, 2017 in Florianópolis, Brazil.
- A CIRM workshop on Evolution Equations on Singular Spaces (with Luc Hillairet and Jared Wunsch) held in Luminy, France in 2016.
- The 73rd Midwest PDE Seminar (with Valentino Tosatti, Ben Weinkove, Jared Wunsch, and Steve Zelditch), held at Northwestern University in 2014.
- A workshop on evolution equations in honor of Terence Tao (with Igor Rodnianski, Gigliola Staffilani, and Jared Wunsch), held at Northwestern University in 2012.
- A workshop on Microlocal methods in spectral and scattering theory (with Emmanuel Schenck, András Vasy, Jared Wunsch, and Steve Zelditch), held at Northwestern University in 2011.

Contact

I can be reached at dbaskin 'at' math.tamu.edu. If you are inquiring about a class I'm teaching, please contact me instead at dbaskin 'at' tamu.edu.

My CV is available here: CV (PDF).

The photo above is taken in front of the Sveriges riksbank (the central bank of Sweden) in May 2018. Here is an older (July 2008) photo in front of the European central bank.

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