I am a postdoc at
CIMAT, a mathematics institute in Guanajuato, MX.
I graduated from LSU with a Ph.D. in mathematics in August 2014
under the direction of Gestur Olafsson.
Analysis on Lie groups and symmetric spaces
Harmonic analysis on direct limits of Lie groups
Toeplitz operators on bounded symmetric domains
M. Dawson, G. Olafsson, R. Quiroga. An Application of the Restriction Method for the Holomorphic Discrete Series to the Commutativity of Toeplitz Operators.. In progress.
M. Dawson, G. Olafsson.
. Submitted. Conical Representations for Direct Limits of Symmetric Spaces M. Dawson, G. Olafsson.
, Trends in Harmonic Analysis and Its Applications, Contemp. Math. A Survey of Amenability Theory for Direct-Limit Groups 650 (2015), 89 – 109. ( arXiv version)
M. Dawson, G. Olafsson, R. Quiroga.
. Journal of Functional Analysis Commuting Toeplitz Operators on Bounded Symmetric Domains and Multiplicity-Free Restrictions of Holomorphic Discrete Series 268 (2015), No. 7, 1711 – 1732. ( arXiv version). M. Dawson, G. Olafsson, J. Wolf.
. Journal of Lie Theory Direct Systems of Spherical Functions and Representations 23 (2013), No. 3, 711 – 729. ( arXiv version)
News (Catch me if you can!)
July 18 – 22, 2016. Will talk at the
International Workshop on Operator Theory and Applications (IWOTA) at Washington University in St. Louis, Missouri. July 11 – 15, 2016. Will talk at the
Latin-American Conference of Mathematicians (CLAM) at la Universidad del Norte in Barranquilla, Colombia. June 5 – 11, 2016. Will be attending the
Mathematical Research Communities workshop organized by the AMS on "Lie group representations, discretization, and Gelfand pairs" in Snowbird, Utah. April 20 – 22, 2016. Visited La Universidad Veracruzana in Xalapa, Verazruz to work with Armando Sanchez. Gave a talk for undergraduate students (
slides) and another one for professors and graduate students ( slides). November 22, 2015. Gestur Olafsson and I have a paper on conical representations and direct limits of symmetric spaces
available on the arXiv. November 14 – 15, 2015. Presented at the AMS Sectional Meeting at Rutgers University in the special session on representations of reductive groups.
November 3 – 7, 2015. Presented at the
International Workshop on the Weiner-Hopf Method, Topelitz Operators, and their applications (WMTOTA)
in Boca del Río, Veracruz.
October 18 – 23, 2015. Will attend the
of La Sociedad Matemática Mexicana (Mexican Mathematical Society) in Hermosillo, Sonora.
September 1 – October 2, 2015. Attended the Inaugural Geometry Lectures at CIMAT-Mérida in Mérida, Yucatán.
June 1 – 5, 2015. Presented at the
International Conference on Harmonic Analysis and Applications (ICHAA)
at CUNY Graduate Center in New York, NY.
May 7 – 10, 2015. Presented at the
Workshop on Representation Theory and Analysis on Lie Groups over Local Fields
at U. Ottawa in Ottawa, Canada.
January 26 – 30, 2015. Presented at
Non-associative algebra and Lie theory
in Oaxaca, Oaxaca.
November 20 – 22, 2014. Presented at
in Mexico City.
August 2014. Began postdoc at CIMAT.
July 9, 2014. Gestur Olafsson (LSU), Raúl Quiroga (CIMAT), and I have a paper on Toeplitz operators
available on the arXiv. April 11 – 13, 2014. Presenting at the AMS Sectional Meeting in Lubbock, Texas.
September 22 – 28, 2013. Research visit to
CIMAT in Guanajuato, MX. Presented a colloquium talk. September 11, 2013. Presented Harmonic Analysis Student Seminar Talk.
Fall 2013 – Spring 2014. I organized a Harmonic Analysis Student Seminar to sponsor talks on topics from harmonic analysis and representation theory for the benefit of graduate students.