Document

Rita Jiménez Rolland1
Centro de Ciencias Matemáticas
UNAM, Campus Morelia
Morelia, Michoacán
58190, MÉXICO
Ofice 129
(+52) 443 322 2798
[email protected]
Homepage: http://www.matmor.unam.mx/∼rita/
Citizenship: Mexican, French
DOB: June 17, 1983
Employment
Assistant Professor, Centro de Ciencias Matemáticas, UNAM Campus Morelia. 2015 – present.
Research Instructor, Northeastern University, 2013–2014.
Education
Ph.D. in Mathematics, University of Chicago, 2013.
Dissertation: “Examples of representation stability phenomena”.
Advisors: Benson Farb and Peter May (second advisor).
M.S. Mathematics, University of Chicago, 2009.
Topic Exam: “Studying the mapping class group of a surface through its actions”.
Discussed with Benson Farb.
M.S. Mathematics, CINVESTAV-IPN, México 2007.
Dissertation: “Harer-Ivanov’s Stability Theorem”.
Advisors: Ernesto Lupercio (Cinvestav-IPN) and Miguel A. Xicotencatl (Cinvestav-IPN).
B.A. in Applied Mathematics, Universidad Autónoma de Aguascalientes, México 2005.
Fellowships and awards
Sofia Kovalévskaia Award 2015, to promote participation of women in research in mathematics in Mexico.
Sistema Nacional de Investigadores Nivel I, CONACyT, 2015-2017.
Mexican National Fellowship, (CONACyT, M.S. studies), 2005-2007.
Research Interests
I am interested in geometric and topological aspects of groups of transformations. In particular, the study
of the mapping class group and its relation with the moduli space of Riemann surfaces. My recent work is
on the phenomena of homological stability and representation stability.
1 Updated
October 6, 2015
Rita Jiménez Rolland
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Publications and preprints
1. Representation stability for the pure cactus group.
Con Joaquı́n Maya Duque. Preprint (2015), to appear in Memorias de la II Reunión de Matemáticos
Mexicanos en el Mundo.
2. The cohomology of M0,n as an FI-module.
Preprint (2014), to appear in Springer INdAM conference series.
3. Examples of representation stability phenomena.
95 pp. ISBN: 978-1303-22886-5. ProQuest LLC.
Thesis (Ph.D.)–The University of Chicago (2013).
4. On the cohomology of pure mapping class groups as FI-modules.
Journal of Homotopy and Related Structures. DOI 10.1007/s40062-013-0066-z (2013). arXiv:1207.6828.
5. Representation stability for the cohomology of the moduli space Mng .
Algebraic & Geometric Topology 11., no. 5. (2011) 30113041. arXiv:1106.0947.
In preparation
Powers of the Euler class for the mapping class group with marked points.
With Solomon Jekel.
Representation stability and counting problems over finite fields: the type B case.
With Jennifer Wilson.
Academic Activities
Talks
XLVIII Congreso Nacional de la SMM. Sesión de Topologı́a Algebraica. October 19, 2015. Sonora, Méx.
Taller de Geometrı́a y Topologı́a en la UABJO October 9, 2015. Oaxaca, Méx.
Coloquio Oaxaqueño de Matemáticas, IMUNAM-Oaxaca . October 1st, 2015. Oax. Méx.
IX Congreso de Ciencias Exactas de la U.A.A. September 24, 2015. Aguascalientes, Méx.
Primera Reunión Conjunta de la Sociedad Matemática Mexicana y la Unión Matemática Israelı́.
September 10, 2015. Oaxaca, Mex.
CCM Seminar Prospectos en Topologı́a . August 17, 2015. Michoacán, Mex.
XI Escuela de Matemáticas de América Latina y el Caribe. June 18, 2015. Puebla, Mex.
Encuentro de Jóvenes en Casa Matemática Oaxaca-BIRS. June 1st, 2015. Oaxaca, Mex.
Coloquio del Posgrado Conjunto en Ciencias Matemáticas UNAM-UMSNH.
May 8, 2015. Michoacán, Méx.
Seminario ‘Guillermo Torres’ de Topologı́a y Geometrı́a del Instituto de Matemáticas de la UNAM.
March 19, 2015. México, D.F.
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40th University of Arkansas Spring Lecture Series. March 5, 2015. Fayetteville, AR.
Seminario de Geometrı́a y Dinámica del CCM. Feb 11, 2015. Michoacán, Méx.
Coloquio del Centro de Ciencias Matemáticas. Feb 6, 2015. Michoacán, Méx.
II Reunión de Matemáticos Mexicanos en el Mundo. Dec 15, 2014. Guanajuato, Méx.
Binghamton University Geometry and Topology Seminar. May 8, 2014. Binghamton, NY.
CUNY Graduate Center Topology Seminar. April 30th, 2014. New York, NY.
Underrepresented Students in Topology and Algebra Research Symposium at UC Berkeley.
April 11, 2014. Berkeley, CA.
Everytopic Seminar at Brandeis University. March 27, 2014. Waltham, MA.
Colloquium of the University of Massachusetts Boston. October 16, 2013. Boston, MA.
Geometry, Algebra, Singularities, Combinatorics Seminar, NEU. Sept 30, 2013. Boston, MA.
Séminarie de l’Institut de Mathemáthiques de Bourgogne. June 6, 2013. Dijon, France.
Coloquio del Depto. de Matemáticas. Universidad de los Andes. March 22, 2012. Bogotá, Colombia.
Seminario de Álgebra. Universidad de los Andes. March 26, 2012. Bogotá, Colombia.
PCMI Summer Session: Moduli Spaces of Riemann Surfaces. July 3-23, 2011. Park City, UT.
Coloquio del Instituto de Matemáticas de la UNAM–Unidad Morelia. June 22, 2011. Michoacán, México.
Seminario de Topologı́a. Departamento de Matemáticas. CINVESTAV-IPN. June 9, 2011. México, DF.
9th annual Graduate Student Topology and Geometry Conference. April 2-3, 2011. East Lansing, MI.
Some Conferences and Workshops attended
Computational Geometric Topology in Arrangement Theory. July 6-10, 2015. Providence, RI.
Encuentro de Gemetrı́a Algebraica en CIMAT. May 18-21, 2015. Guanajuato, Mex.
PCMI Summer Session: Geometric Group Theory. July 15-21, 2012. Park City, UT.
50th Cornell topology Festival May 4-7, 2012. Ithaca, NY.
G3 conference: Geometric groups on the gulf coast. April 5-8, 2012. Pensacola, FL.
Workshop on Geometric Group Theory, Hyperbolic Dynamics and Symplectic Geometry.
July 11-17 2010. Oberwolfach, Germany.
Esf Ems Ercom Conference on Teichmuller Theory. June 28 to July 3 2010. Bellaterra, Spain.
Vogtmannfest. June 21-25 2010. Luminy, France.
Summer School: Examples of group actions. May 28 to June 3 2010. Columbus, OH.
8th annual Graduate Student Topology and Geometry Conference. April 10-11, 2010. Ann Arbor, MI.
Dynamics and Geometry of Teichmuller Space: School and Conference
Honoring the 60th birthday of Howard Masur. June 18-26 2009. Luminy, France.
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RTG Workshop on Geometric Group Theory. April 17-19 2009. Ann Arbor, MI.
RTG Workshop on Dynamics of Teichmuller Space. April 11-13 2008. Ann Arbor, MI.
6th annual Graduate Student Topology and Geometry Conference. March 29-30 2008. U-C, IL.
Service
XLVIII Congreso Nacional de la Sociedad Matemática Mexicana. Hermosillo, Son. October 18-23, 2015.
Co-organizer of the Algebraic Topology session.
Primera Reunión Conjunta de la Sociedad Matemática Mexicana y la Unión Matemática Israelı́. Oaxaca,
Oax. September 7-11, 2015. Co-organizer of the Geometry and Topology session.
Clubes de Ciencia México, Oaxaca, Oax. August 2015. Co-instructor of the course “La geometrı́a detrás
de las ecuaciones algebraicas” para for high school and college students.
XV Escuela de Verano en Matemáticas. Centro de Ciencias Matemáticas UNAM-Morelia. Morelia, Mich.
Junio 29 to July 3rd, 2015. Co-organizer of the summer school.
Feria Matemática, Morelia, Mich. April 18, 2015. Supported activities organized by the Club de Mate
during the Mathematical Fair.
Serie Caleidoscopio Matemático, Aguascalientes, Ags. February 2015. Expository talk “Trenzas y configuraciones” for the undergraduate students in mathematics at Universidad Autónoma de Aguascalientes.
Clubes de Ciencia México, Ensenada, Baja California. Julio de 2014.
Instructor of the course “EL concepto de simetrı́a en matemáticas” for high school and college students.
Graduate Geometry and Topology Seminar Co-organizer , University of Chicago. Oct 2011 - June 2012.
Ran the weekly “Farb and Friends Student Seminar” on geometry and topology.
Directed Reading Program, University of Chicago. Jan 2009 - Dec 2010 and Jan - March 2012.
Mentored six undergraduates doing independent math projects.
Research Experience for Undergraduates Mentor and TA, University of Chicago. Jun - Aug 2010, 2012.
Co-mentored four undergraduate students writing independent reports, and assisted with a course on the
mapping class group and a course on linear algebra and combinatorics.
Teaching
Fall 2008, University of Chicago. College Fellow IBL Honors Calculus I - Math 161.
Winter 2009, University of Chicago. College Fellow IBL Honors Calculus II - Math 162.
Spring 2009, University of Chicago. College Fellow IBL Honors Calculus III - Math 163.
Fall 2009, University of Chicago. Instructor Fundamental Mathematics-1 Math 105.
Winter 2010, University of Chicago. Instructor Fundamental Mathematics-2 Math 106.
Spring 2010, University of Chicago. Instructor Elementary Functions and Calculus-3 Math 133.
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Fall 2010, University of Chicago. Instructor Fundamental Mathematics-1 Math 105.
Winter 2011, University of Chicago. Instructor Fundamental Mathematics-1 Math 106.
Spring 2011, University of Chicago. Instructor Mathematical Methods for Social Sciences Math 19520.
Summer 2011, University of Chicago. Chicago Academic Achievement Program: Number Theory.
Fall 2011, University of Chicago. Instructor Calculus-2 Math 152.
Winter 2012, University of Chicago. Instructor Calculus-3 Math 152.
Summer 2012, University of Chicago. Instructor Linear Algebra Math 19620.
Spring 2013, Graduate Teaching Assistant for the Paris Math Program of the University of Chicago.
Math 29513: Computability Theory. Instructor: Robert Soare.
Math 29512: Introduction to p-Groups. Instructor: Diane Herrmann .
Math 29511: Introduction to Stochastic Processes. Instructor: Greg Lawler .
Fall 2013, Northeastern University. Instructor Calculus 1 for Science and Engineering Math 1341.
Winter–Spring 2014, Northeastern University. Instructor Linear Algebra Math 2331.
Fall 2014, Northeastern University. Instructor Calculus 3 for Science and Engineering Math 2321.
Winter-Spring 2015, CCM UNAM-Morelia. Graduate class Cohomology of groups.
Summer 2015, CCCM UNAM-Morelia. Course in the XV Escuela de Verano en Matemáticas: Surface
Topology.
Fall 2015, CCM UNAM-Morelia. Graduate class Algebraic topology.
Miscellaneous
Languages
Spanish: Native.
English: Fluent.
French: Fluent.