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Thomas Gilsdorf

​​​​​​​​​Photo of James AngelosProfessor - Department Chair
Pearce Hall 214
989-774-3596
gilsd1te@cmich​.edu
Education:

  • Ph.D., Mathematics, 1988, Washington State University, Pullman, WA
  • M.S., Mathematics: Computer Science, 1984, Mankato State University, Mankato, MN
  • B.A., Mathematics, 1981, University of Minnesota, Minneapolis

Postdoctoral scholarship: Solomon Lefschetz Postdoctoral Research Scholarship; at the Center for Research and Advanced Studies (CINVESTAV), Mexico City, Mexico, August 1992,  to August 1993 

Selected Recent Awards and Honors, Special Presentations:
  • Plenary Address:  Mathematics of Culture and Cultural Mathematics; Presented (in Spanish) at the First International Meeting of Ethnomathematics of Latin America (ELEM1), Sololá, Guatemala, June, 2016.
  • Division of Mathematics and Actuarial Sciences Teaching Award, Instituto Tecnológico Autónomo de México (ITAM), Mexico City, Mexico, December, 2014.
  • Fulbright Scholarship; at the Instituto Tecnológico Autónomo de México (ITAM), Mexico City, Mexico, August 2006 - June, 2007.​
Teaching Areas:

Functional analysis, Ethnomathematics

Interests:
Locally convex spaces, cultural mathematics (ethnomathematics), mathematics education.
Selected Recent Publications and Presentations:

  • Rigoberto Vera, Carlos Bosch, César García, Thomas E. Gilsdorf, Claudia Gómez; Fixed points of set-valued maps in locally complete spaces.  Fixed Point Theory and Applications 2017: no. 13 (electronic), (2017), 11 pages.
  • Thomas E. Gilsdorf;  Hñähñu (Otomi) mathematics revisited.  Journal of Mathematics and Culture, 10, no. 2, (2016), 73 - 85.
  • Thomas E. Gilsdorf; Gender, culture, and ethnomathematics. In Proceedings of the Eighth International Conference on Mathematics Education and Society (MES-8), Swapna Mukhopadhyay,  Brian Greer, Eds., (2015), p. 531-542.
  • Thomas E. Gilsdorf; Otomi and Mazahua textile art as a feminine expression of mathematics (Arte textil  Otomí y Mazahua como expresión femenina de matemáticas) Estudios de Cultura Otopame;  Institute of Anthropology, National University of Mexico (UNAM), (2015).
  • Thomas E. Gilsdorf, Mohammad Khavanin; Existence and uniqueness results for nonlinear integro - differential equations in real locally complete spaces. Sci. Math. Japonica, 76, no. 3, (2013), 395-400.
  • Carlos Bosch, Thomas E. Gilsdorf, Claudia Gómez;  Mackey first countability and docile spaces; Acta Math. Sinica, 47, no. 4, (2011), p. 737 - 740.
  • Thomas E. Gilsdorf; Mathematics of the Hñähñu: the Otomies; Journal of Mathematics and Culture, 4,  no. 1, (2009), p. 84 - 105.
  • Thomas E. Gilsdorf; Locally convex spaces and some results of George Mackey (1916 - 2006). (in Spanish); Miscelánea Mat., 47, (2008), p. 39 - 53.
  • Thomas E. Gilsdorf Ethnomathematics of the Otomies. (in Spanish); Estudios de Cultura Otopame;  Institute of Anthropology, National University of Mexico (UNAM), 6, (2008), p. 167-181.
  • Thomas E. Gilsdorf; Ethnomathematics of the Inkas. In The Encyclopedia of the History of Science, Technology, and Medicine in Non-Western Cultures, Second Edition (electronic) , H. Selin, Ed., Springer-Verlag, (2008); updated (2014).
  • Thomas E. Gilsdorf Strictly webbed convenient locally convex spaces. International Journal of  Mathematical Analysis, 1, no. 16, (2007), p. 775-782.

Selected recent presentations:

  • Women and ethnomathematics: Aspects of gender; presented at the Joint Meetings of the    AMS and MAA, San Antonio, TX, January, 2015.
  • Discovering cultural mathematics (Encontrando matemáticas culturales); presented at the Mathematics (Student) Seminar, La Universidad Autónoma del Estado de Hidalgo, Hidalgo, Mexico, March, 2014.
  • Existence of unique solutions to integro-differential equations in locally complete spaces; presented at the tenth annual conference on Analysis and Mathematical Physics, La Universidad Autónoma del Estado de Hidalgo, Hidalgo, Mexico, Jan., 2014.
  • Finding mathematics in culture (Encontrando matemáticas en la cultura); presented at the Education Seminar, the National Pedagogical University, Mexico City, Mexico, Nov. 2013.
  • Otomi and Mazahua textile art as a feminine expression of mathematics (Arte textil Otomí y Mazahua como expresión femenina de matemáticas); presented at the XIV Coloquio Internacional sobre los Otopames, San Felipe del Progreso, México, Nov., 2013.
  • Perspectives of mathematics and art from traditional Mexican artists; presented at the: Regional National Council of Teachers of Mathematics (NCTM), Chicago, Nov., 2012.
  • Tham Larutluc- How Cultural Influences Affect Mathematics;  presented at the International Congress of Ethnomathematics IV, Towson MD, July, 2010.
  • Mathematics of Latin America and its use in the classroom;  presented at the regional National Council of Teachers of Mathematics (NCTM), Minneapolis, Nov. 2009.
  • Women and Mathematics in Indigenous Cultures; presented at the Dreamcatcher 2009 Conference, Winnipeg, May, 2009.
  • The ethnomathematics of weaving; presented at the MAA Session on Ethnomathematics and its use in Teaching, Joint AMS-MAA Meetings, San Diego, Jan., 2008.
  • Ethnomathematics; Presented at the North Dakota Indian Education Association annual conference, Ft. Yates,  Oct., 2007.
  • Ethnomathematics: Math in a Cultural Context; presented at the United Tribes Technical College, Bismarck, August, 2007.
  • Ethnomathematics of the Mazahua and Otomíes (in Spanish); presented at the Institute for Anthropological Studies, National University of Mexico (UNAM),  Mexico City, May, 2007.
  • Homage to George Mackey: 1916 - 2006 (in Spanish); presented at the University of the State of Hidalgo, Mexico,  April, 2007.
  • Ethnomathematics; presented at the University of Minnesota, Minneapolis,  Feb., 2007.
  • A characterization of convenient locally convex spaces; presented at the Sixth Annual Conference on Analysis and Mathematical Physics, University of the State of Hidalgo, Mexico, Jan., 2007.​