About Me

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.

Research Interests

• Analysis on Lie groups and symmetric spaces
• Harmonic analysis on direct limits of Lie groups
• Toeplitz operators on bounded symmetric domains

Publications (Research)

1. 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.
2. M. Dawson, G. Olafsson. Conical Representations for Direct Limits of Symmetric Spaces. Submitted.
3. M. Dawson, G. Olafsson. A Survey of Amenability Theory for Direct-Limit Groups, Trends in Harmonic Analysis and Its Applications, Contemp. Math. 650 (2015), 89 – 109. (arXiv version)
4. M. Dawson, G. Olafsson, R. Quiroga. Commuting Toeplitz Operators on Bounded Symmetric Domains and Multiplicity-Free Restrictions of Holomorphic Discrete Series. Journal of Functional Analysis 268 (2015), No. 7, 1711 – 1732. (arXiv version).
5. M. Dawson, G. Olafsson, J. Wolf. Direct Systems of Spherical Functions and Representations. Journal of Lie Theory 23 (2013), No. 3, 711 – 729. (arXiv version)

Expository Publications

1. M. Dawson. Bridging the Group Definition Gap. Harvard College Mathematics Review 2 (2008), No. 1, 34 – 42.

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 national conference 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 Análisis: Norte-Sur 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.