Rodrigo JesusHernandez Gutierrez

Postal address:UAM IztapalapaDepto. Matematicas, AT-228Av. San Rafael Atlixco 186, Col. VicentinaIztapalapa, 09340, Ciudad de MexicoMexico

Born 27/10/1984in Mexico city

e-mail: rod@xanum.uam.mxTel: +52 55 58044600 ext 3343

Contents

1 Employment 21.1 Current affiliation . . . . . . . . 21.2 Teaching experience . . . . . . . 2

2 Education 32.1 Degrees . . . . . . . . . . . . . . 32.2 Postdoctoral research . . . . . . . 42.3 Scholarships . . . . . . . . . . . . 42.4 Fellowships . . . . . . . . . . . . 42.5 Languages . . . . . . . . . . . . . 42.6 Courses for teachers taken . . . . 5

3 Teaching 53.1 Courses taught . . . . . . . . . . 53.2 Teaching Assistant . . . . . . . . 63.3 Supervision of doctoral students 73.4 Member of graduate students’

committee . . . . . . . . . . . . . 73.5 Supervisor of undergraduate re-

search projects . . . . . . . . . . 7

3.6 Thesis revision . . . . . . . . . . 7

4 Research 84.1 Distinctions . . . . . . . . . . . . 84.2 Research papers . . . . . . . . . . 84.3 Grants . . . . . . . . . . . . . . . 104.4 Research stays . . . . . . . . . . 104.5 Referee of research papers . . . . 10

5 Publications 10

6 Talks 106.1 Invited speaker . . . . . . . . . . 106.2 International conferences . . . . . 116.3 Conferences and meetings in

Mexico . . . . . . . . . . . . . . . 126.4 Popularization of mathematics . 13

7 Conferences organized 14

8 Member of professional societies 14

9 Others 14

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1 Employment

1.1 Current affiliation

09/2016 — 08/2018 Visiting ProfessorDepartment of MathematicsMetropolitan Autonomous University (UAM) at IztapalapaMexico city

1.2 Teaching experience

02/2018 — 06/2018 Lecturer, level ADepartment of MathematicsSchool of Sciences, National Autonomous University of Mexico (UNAM)Mexico city

02/2017 — 06/2017 Lecturer, level ADepartment of MathematicsSchool of Sciences, National Autonomous University of Mexico (UNAM)Mexico city

01/2015 — 12/2015 Part Time LecturerDepartment of Mathematics and StatisticsUniversity of North Carolina at CharlotteCharlotte, North Carolina

08/2014 — 01/2015 Lecturer, level AActuary Department and Applied Mathematics Department (MAC)Acatlan campus (FES Acatlan), National Autonomous University of Mexico (UNAM)Naucalpan, Mexico state

07/2013 — 06/2014 Postdoctoral VisitorDepartment of Mathematics and StatisticsYork UniversityToronto, Ontario

02/2013 — 07/2013 LecturerCuautitlan Izcalli campus (UAPCI)Mexico State Autonomous University (UAEM)Cuautitlan Izcalli, Mexico state

02/2013 — 07/2013 Lecturer, level AActuary DepartmentAcatlan campus (FES Acatlan), National Autonomous University of Mexico (UNAM)Naucalpan, Mexico state

08/2012 — 07/2013 Lecturer, level BDepartment of Mathematics

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School of Sciences, National Autonomous University of Mexico (UNAM)Mexico city

02/2008 — 07/2011 Lecturer, level ADepartment of MathematicsSchool of Sciences, National Autonomous University of Mexico (UNAM)Mexico city

02/2009 — 07/2009 Lecturer, level AActuary DepartmentAcatlan campus (FES Acatlan), National Autonomous University of Mexico (UNAM)Naucalpan, Mexico state

02/2007 — 07/2011 Teaching Assistant BDepartment of MathematicsSchool of Sciences, National Autonomous University of Mexico (UNAM)Mexico City.

08/2005 — 01/2007 Teaching Assitant ADepartment of MathematicsSchool of Sciences, National Autonomous University of Mexico (UNAM)Mexico City.

2 Education

2.1 Degrees

2013 Ph.D. in Mathematical SciencesNational Autonomous University of Mexico (UNAM)Morelia, Michoacan and Mexico city

Advisors: Michael Hrusak, Angel Tamariz MascaruaDissertation: Disconnectedness properties of hyperspaces, spaces of remote points andcountable dense homogeneous spaces

2009 M.Sc. in Mathematical SciencesNational Autonomous University of Mexico (UNAM)Mexico city

Advisor: Angel Tamariz MascaruaThesis: Products of ccc spaces: an application of set theory to topology

2007 B.Sc. in MathematicsSchool of Sciences, National Autonomous University of Mexico (UNAM)Mexico city

Advisor: Alejandro Illanes MejıaThesis: Dendrites

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2003 Technical degree on digital systemsC.E.C.y T. 3, “Estanislao Ramirez Ruiz”, National Polytechnic Institute (IPN)Ecatepec de Morelos, Mexico state

2.2 Postdoctoral research

02/2016 — 05/2016 Nipissing UniversityNorth Bay, OntarioSupervisor: Logan Hoehn

01/2015 — 12/2015 University of North Carolina at CharlotteCharlotte, North CarolinaSupervisor: Alan Dow

07/2013 — 06/2014 York UniversityToronto, OntarioSupervisor: Paul Szeptycki

2.3 Scholarships

2015 Posdoctoral scholarship awarded by CONACyT during my visit to the Univer-sity of North Carolina at Charlotte.

2009 — 2012 CONACyT scholarship for doctoral studies.

2007 — 2008 CONACyT scholarship for master’s studies.

2002 — 2006 Recieved scholarships from CONACyT and TELMEX during my undergrad-uate studies. These scholarships were awarded to the winners of the MexicanMathematical Olympiad in 2001.

2.4 Fellowships

2013 — 2014 Visiting researcher of The Fields Institute for Research in Mathematical Sci-ences of the University of Toronto during my postdoctoral visit to York Uni-versity.

2011 — 2012 Fellow student at the Center of Mathematical Sciences (CCM), UNAM duringmy doctoral studies.

2007 — 2011 Fellow of the Institute of Mathematics (IMATEM), UNAM during my master’sstudies.

2.5 Languages

2017 New Japanese Language Proficiency Test awarded by the Japanese government,level N2.

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2005 Japanese Language Proficiency Test awarded by the Japanese government, level3, score 388/400.

2004 Japanese Language Proficiency Test awarded by the Japanese government, level4, score 393/400.

2002 Methodology course for English teachers with a duration of 100 hours.

1997 — 1999 Advanced courses of reading, writing, listening comprehension and grammar ofthe English language.

2.6 Courses for teachers taken

06/2009 Graphing the complex planeSchool of Sciences, National Autonomous University of Mexico (UNAM)

3 Teaching

3.1 Courses taught

09/2018 — 12/2018 Multivariable calculus 2, UAM Iztapalapa

05/2018 — 08/2018 Geometry 2, UAM Iztapalapa

02/2018 — 07/2018 Set theory 1, School of Sciences, UNAM

01/2018 — 04/2018 Applied linear algebra, UAM Iztapalapa

01/2018 — 04/2018 Fundaments of algebra, UAM Iztapalapa

08/2017 — 12/2017 Introduction to mathematical thinking, UAM Iztapalapa

05/2017 — 08/2017 Fundaments of geometry, UAM Iztapalapa

05/2017 — 08/2017 Precalculus, UAM Iztapalapa

02/2017 — 07/2017 Analytic geometry 1, School of Sciences, UNAM

01/2017 — 04/2017 Analytic geometry, UAM Iztapalapa

08/2016 — 12/2016 Multivariable calculus 1, UAM Iztapalapa

08/2016 — 12/2016 Applied linear algebra, UAM Iztapalapa

08/2015 — 12/2015 College algebra, UNC Charlotte

06/2015 — 08/2015 College algebra, UNC Charlotte

01/2015 — 04/2015 Matrices and linear algebra, UNC Charlotte

08/2014 — 11/2014 Differential and integral calculus 1, FES Acatlan, UNAM

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08/2014 — 11/2014 College algebra 1, FES Acatlan, UNAM

08/2014 — 11/2014 Discrete mathematics, FES Acatlan, UNAM

09/2013 — 05/2014 Calculus for the life and social sciences, York University

02/2013 — 07/2013 Differential and integral calculus 3, FES Acatlan, UNAM

02/2013 — 07/2013 Set theory 1, School of Sciences, UNAM

02/2013 — 07/2013 Operations research for bussiness, UAP Cuautitlan Izcalli, UAEM

08/2012 — 01/2013 Sets and logic, School of Sciences, UNAM

02/2011 — 07/2011 Set theory 1, School of Sciences, UNAM

08/2010 — 01/2011 College algebra 2, School of Sciences, UNAM

08/2010 — 01/2011 Set theory 1, School of Sciences, UNAM

02/2010 — 07/2010 Set theory 2, School of Sciences, UNAM

08/2009 — 01/2010 Set theory 1, School of Sciences, UNAM

02/2009 — 07/2009 Mathematical analysis 1, FES Acatlan, UNAM

02/2008 — 07/2008 Analytic geometry 1, School of Sciences, UNAM

3.2 Teaching Assistant

It is important to mention that TAs in the School of Sciences of UNAM do not only grade homeworkand tests, but they are also in charge of the students during one hour twice a week. During thistime, TAs lecture as instructed by the main instructor and help students solve homework exercises.

08/2009 — 01/2010 Set theory 1, School of Sciences, UNAM

08/2008 — 01/2009 Topology 2, School of Sciences, UNAM

08/2008 — 01/2009 Number theory 1, School of Sciences, UNAM

02/2008 — 07/2008 Topology advanced course (hyperspace theory), School of Sciences, UNAM

08/2007 — 01/2008 Topology 3, School of Sciences, UNAM

08/2007 — 01/2008 Algebraic geometry 2, School of Sciences, UNAM

02/2007 — 07/2007 Mathematical analysis 2, School of Sciences, UNAM

02/2007 — 07/2007 Algebraic geometry 1, School of Sciences, UNAM

08/2006 — 01/2007 Mathematical analysis 1, School of Sciences, UNAM

08/2006 — 01/2007 Linear algebra 1, School of Sciences, UNAM

02/2006 — 07/2006 Topology 1, School of Sciences, UNAM

02/2006 — 07/2006 College algebra 2, School of Sciences, UNAM

08/2005 — 01/2006 College algebra 1, School of Sciences, UNAM

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3.3 Supervision of doctoral students

In Process:

started 02/2018 Alfredo Zaragoza CorderoKatetov extension, hyperspaces and almost zero dimensional spacesJointly supervising with Dr. Angel Tamariz MascaruaSchool of Sciences, UNAM, Mexico city

3.4 Member of graduate students’ committee

Each graduate student is assigned a supervising committe. The committe does not work directlywith the student but recieves reports about the student’s work at the end of each term. Eachmember of the committe then gives an opinion of whether the student’s work during that termwas satisfactory.

08/2017- in process Jorge Enrique Vega AcevedoMember of supervising committee, Ph.D. in Mathematical SciencesInstitute of Mathematics, UNAM, Mexico city

3.5 Supervisor of undergraduate research projects

In Process:

started 11/2017 Rene Leonardo Ahumada LemusB.Sc. MathematicsSchool of Sciences, UNAM, Mexico city.

Concluded:

02/2018 – 05/2018 Miguel Angel Ocana GomezB.Sc. MathematicsUAM Iztapalapa, Mexico city.

3.6 Thesis revision

2018 Selections and well orders in topological spacesJorge Antonio Cruz Chapital, B.Sc. in mathematicsSchool of Sciences UNAM, Mexico city

2018 DendroidsJimmy Anel Naranjo Murillo, Ph.D. candidate (mathematics)School of Sciences UNAM, Mexico city

2017 Hyperspaces and absolutes of topological spacesAlfredo Zaragoza Cordero, M.Sc. (mathematical sciences)School of Sciences UNAM, Mexico city

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2017 Contractibility in hyperspacesLuis Antonio Paredes Rivas, Ph.D. candidate (mathematics)School of Sciences UNAM, Mexico city

2016 Uniqueness of the second and third symmetric products for meshed continuaLuis Alberto Guerrero Mendez, Ph.D (mathematics)School of Physical and Mathematical Sciences (FCFM) BUAP, Puebla

2015 Infinite combinatorics and Ramsey-type theoremsJareth Zuleyca Torres Reyes, B.Sc. in mathematicsSchool of Sciences UNAM, Mexico city

2014 The symmetric product of topological spacesIrene Rosas Nunez, B.Sc. in mathematicsSchool of Sciences UNAM, Mexico city

2010 From Lebesgue measure to large cardinalsJudith Campos Cordero, B.Sc. in mathematicsSchool of Sciences UNAM, Mexico city

2009 Some properties of the Mrowka-Isbell spacesNoriko Amano Patino, B.Sc. in mathematicsSchool of Sciences UNAM, Mexico city

4 Research

My research focus is on General Topology. Some topics I have worked on are compactifications,continua, hyperspaces and homogeneous spaces. I am interested in applications of Set Theory toTopology.

4.1 Distinctions

2015 — 2021 National Researcher, Level 1National System of Researchers (SNI), CONACyT

4.2 Research papers

Submitted and accepted

23. A non-discrete space X with Cp(X) Menger at infinity, (with A. Bella) submitted to AppliedGeneral Topology

22. Countable dense homogeneity and the Cantor set, accepted on Fundamenta Mathematicae

18. Far points and discretely generated spaces, (with A. Dow), submitted to Colloqium Mathe-maticum

Published

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21. A fixed-point-free map of a tree-like continuum induced by bounded valence maps on trees,(with L.C. Hoehn) Colloq. Math. 151, 2 (2018), pp. 305–316.

20. Reversible filters, (with A. Dow) Top. Applications 225 (2017), 34–45.

19. Homogeneity degree of symmetric products, (with V. Martınez de la Vega), Top. Applications230C (2017) pp. 276–282.

17. Rigidity of the second symmetric product of the pseudo-arc, (with I. Calderon and A. Illanes)Topol. Applications 221 (2017), 440–448.

16. Uniform powers of compacta and the proximal game, (with P. Szeptycki) Topol. Applications221 (2017), 399–411.

15. Some observations on filters with properties defined by open covers, (with P. Szeptycki) Com-ment. Math. Univ. Carolin. 56, 3 (2015) 355–364.

14. Wijsman hyperspaces of non-separable metric spaces, (with P. Szeptycki) Fund. Math. 228(2015), 63–79.

13. Countable Dense Homogeneity and λ-sets, (with M. Hrusak and J. van Mill) Fund. Math. 226(2014) 157–172.

12. A Whitney Map onto the Long Arc, Questions Answers Gen. Topology 32, 2 (2014), 145–152.

11. Remote Points and Discretely Generated Spaces, Matematicki Vesnik 67, 1 (2015), 39–51.

10. Periodic Points and Transitivity on Dendrites, (with Acosta, Naghmouchi and Oprocha) Er-god. Th. & Dynam. Sys. 37 (2017), No. 7, 2017–2033

09. Countable Dense Homogeneity and the Double Arrow Space, Top. Applications 160, 10, (2013),1123–1128.

08. Non-meager P-filters are Countable Dense Homogeneous, (with M. Hrusak) Colloq. Math.130 (2013), 281–289.

07. Spaces of Remote Points, (with A. Tamariz-Mascarua and M. Hrusak) Top. Applications 159,13 (2012), 3002–3011.

06. Uniqueness of Hyperspaces of Indecomposable Arc Continua, (with A. Illanes and V. Martınez-de-la-Vega) Glasnik Mat. 49 (69) No. 2, (2014), 421–433.

05. Rigidity of Symmetric Products, (with V. Martınez-de-la-Vega) Top. Applications 160, 13(2013), 1577–1587.

04. Rigidity of Hyperspaces, (with A. Illanes and V. Martınez-de-la-Vega) Rocky M. J. of Math.45 (1), (2015), 213–236.

03. Disconnectedness Properties of Hyperspaces, (with A. Tamariz-Mascarua) Comment. Math.Univ. Carolin. 52, 4 (2011), 569–591.

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02. Uniqueness of Hyperspaces for Peano Continua, (with A. Illanes and V. Martınez-de-la-Vega)Rocky Mountain J. Math. 43, 5 (2013), 1583–1624.

01. Dendrites and Symmetric Products, (with G. Acosta and V. Martınez-de-la-Vega) Glas. Mat.,III. Ser. 44, No. 1 (2009), 195–210.

4.3 Grants

07/2017 — 08/2018 Support for new full-time professorsPRODEP grant, awarded by the Secretary of Public Education of Mexico (SEP)MXN $224, 239 (approx. US $12, 365.48 at the begining of the period)

4.4 Research stays

29/08/2018 – 21/09/2018 Universita degli studi di CataniaCatania, SiciliaHost: Angelo Bella

06/08/2018 – 21/08/2018 University of North Carolina at CharlotteCharlotte, North CarolinaHost: Alan Dow

4.5 Referee of research papers

• Referee for the journals Mathematica Bohemica, Matematicki Vesnik and Topology and itsApplications.

• Reviewer for Mathematical Reviews since 2012.

5 Publications

2016 Angel Tamarız: un pilar de la topologıa en Mexico, (with Yasser Ferman Ortiz Castillo)(“Angel Tamariz: a pillar for Mexican topology”) Carta Informativa de la SMM 73 (2016),3–9. (ISSN: 2007-7122)

6 Talks

6.1 Invited speaker

01/2018 T -algebras and magic Gδ’s, Invited speakerThe 1st Mexico-USA Logic FestInstituto Tecnologico Autonomo de MexicoMexico city, Mexico

11/2017 Countable dense homogeneity and non-definable spaces, Plenary speaker2nd Pan-Pacific Conference on Topology and its ApplicationsBusan, South Korea

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09/2017 A generalization of the concept of homogenous space,Coloquium of the Joint Postgraduate Program in Mathematical SciencesCenter of Mathematical Sciences (CCM) UNAMMorelia, Michoacan, Mexico

05/2016 Unique hyperspaces and homeomorphisms, Conferencista invitado13th Annual Workshop on Topology and Dynamical SystemsNorth Bay, Ontario, Canada

05/2015 Some problems in the theory of hyperspaces, Conferencista semi-plenario2015 Spring Topology and Dynamical Systems ConferenceBowling Green, Ohio, USA

03/2015 The proximal game for topological spaces, Seminario de TopologıaUniversity of North Carolina at GreensboroGreensboro, North Carolina, USA

6.2 International conferences

06/2018 Pseudoradial spaces and copies of ω1

2018 International Conference on Topology and its ApplicationsNafpaktos, Greece

11/2017 A new example of a fixed-point free map of a tree-like continuum2nd Pan-Pacific Conference on Topology and its ApplicationsBusan, South Korea

09/2016 Spaces that are discretely generated at infinityWorkshop on Set Theory and Its Applications in TopologyCasa Matematica Oaxaca, Oaxaca, Mexico

03/2016 Reversible filters50th Spring Topology and Dynamics ConferenceWaco, Texas, USA

08/2015 Compactifications of discretely generated spacesInternational Conference on Set-Theoretic Topology and its ApplicationsYokohama, Kanagawa, Japon

08/2014 Uniform powers of compacta and the proximal gameMexican International Conference on Topology and its ApplicationsCocoyoc, Morelos, Mexico

08/2014 Whitney maps with non-metrizable codomainMexican International Conference on Topology and its ApplicationsCocoyoc, Morelos, Mexico

03/2014 Whitney maps onto non-metrizable arcs48th Spring Topology and Dynamics ConferenceRichmond, Virginia, USA

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03/2014 Wijsman hyperspaces of non-separable metric spaces48th Spring Topology and Dynamics ConferenceRichmond, Virginia, USA

04/2012 New Results on Countable Dense Homogeneity2012 Ibero-American Conference on Topology and its ApplicationsGuanajuato, Mexico

03/2012 Countable Dense Homogeneous Filters46th Spring Topology and Dynamics ConferenceMexico city, Mexico

02/2012 Countable Dense Homogeneous FiltersWinter School on Abstract Analysis - Section Set Theory and Set Theoretic-TopologyHejnice, Czech Republic

07/2011 Classifying spaces of Remote Points for some Metrizable SpacesPrague Topological Symposium 2011Prague, Czech Republic

09/2010 Disconnectedness properties of hyperspacesInternational Conference Japan-Mexico on Topology and its ApplicationsColima, Mexico

06/2010 The problem of unique hyperspaces for Peano continua2010 International Conference on Topology and its ApplicationsNafpaktos, Greece

6.3 Conferences and meetings in Mexico

11/2017 A generalization of the concept of homogeneous space50th National Conference of the Mexican Matematical Society (SMM)Mexico city

10/2012 Countable dense homogeneous spaces45th National Conference of the Mexican Matematical Society (SMM)Queretaro, Queretaro

11/2012 About the hyperspace of subcontinua of smooth fans7th Student’s Workshop on Continua Theory and their HyperspacesPuebla, Puebla

06/2012 How to adjust a countable dense setYoung Researchers’ SymposiumToluca, Mexico state

10/2010 Quasicomponents, Hyperspaces and GroupsAquelarre MatematicoMexico city, Mexico

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10/2010 Remote points8th Jornadas de TopologıaPuebla, Mexico

11/2009 Counting composants on indecomposable continua4th Student’s Workshop on Continua Theory and their HyperspacesToluca, Mexico state

11/2009 Extreme disconnectedness properties on linearly ordered spaces and hyperspaces70th Anniversary of the School of Sciences UNAMMexico city, Mexico

09/2009 Boolean spacesFellow students’ seminar, Institute of Mathematics (IMATEM)UNAM, Mexico city

11/2008 Souslin’s problem7th Jornadas de TopologıaPatzcuaro, Michoacan

10/2008 Product of ccc spaces41st National Conference of the Mexican Matematical Society (SMM)Valle de Bravo, Mexico state

04/2008 45 Topological Characterizations of DendritesSecond Latin-american conference of Students of Mathematics “EXPRIME” 2008San Luis Potosı, San Luis Potosı

11/2007 Dendrites with unique symmetric products2nd Student’s Workshop on Continua Theory and their HyperspacesInstitute of Mathematics (IMATEM), Cuernavaca, Morelos

6.4 Popularization of mathematics

06/2018 Transitividad en dendritasDifferential Equations and Geometry SeminarDepartamento de Matematicas, UAM Iztapalapa, Mexico city.

09/2017 How to construct topological spacesMathematics Popularization SeminarDept. of Mathematics and Physics, Hidalgo State University (UAEH), Pachuca,Hidalgo.

04/2017 The topology of homogeneous spacesGeneral Topology Colloquium (remembering Professor Adalberto Garcıa Maynez)School of Sciences, UNAM, Mexico city

11/2016 The many roads to infinityLunes de Faenas Matematicas de la UAM-IMetropolitan Autonomous University (UAM) at Iztapalapa, Mexico city

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7 Conferences organized

03/2018 52nd Spring Topology and Dynamics ConferenceContinua theory session co-organizerAuburn, Alabama, USA

02/2018 Jornadas de Topologıa 2018Member of organizing committeeMexico city, Mexico

11/2017 2nd Pan-Pacific Conference on Topology and its ApplicationsSet theory session co-organizerBusan, South Korea

8 Member of professional societies

from 2002: Mexican Mathematical Society (SMM)

from 2009: American Mathematical Society

from 2009: Mathematical Association of America

9 Others

07/2002 Member of the Mexican team in the 42nd International Mathematical Olympiad(IMO) in Glasgow, Scotland.

11/2001 Honorable mention at the 12th Mexican Physics Olympiad in Ensenada, BajaCalifornia.

11/2001 First place in the 15th Mexican Mathematical Olympiad in Oaxtepec, Morelos.

11/2000 Second place in the 14th Mexican Mathematical Olympiad in Morelia, Michoacan.

1999 — 2002 During high school, I participated in various academic competitions. In the “In-terpolitecnicos” of the Instituto Politecnico Nacional, I scored first place among allcontestants in four mathematics subjects and one physics subject. I also got dis-tinctions in the following competitions: “Andrei N. Kolmogorov Contest of Math-ematics” organized by Anahuac University in 2001, “Pierre de Fermat Contest ofMathematics” organized by the Physics and Mathematics School of the InstitutoPolitecnico Nacional (IPN) in 2001 and “Tippens Contest of Physics” organizedby McGrawHill publishing house in 2001. I obtained an honorable mention of the“Bernardo Quintana Arrioja prize” in the “Academic Excellence” category in 2002;this prize is awarded by the Instituto Politecnico Nacional and the “Asociacion deApoyo a la Juventud”.

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