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Education
Education
2023
Ph.D. in Mathematics
INSTITUTO DE MATEMÁTICA Y CIENCIAS AFINES (IMCA), UNIVERSIDAD-NACIONAL DE INGENERIA (UNI)
Advisor: Joe Palacios
2018
M.Sc. in Mathematics
PONTIFICIA UNIVERSIDAD CATÓLICA DEL PERÚ (PUCP)
Advisor: Hernán Neciosup Puican
2010
B.Math. in Mathematics and Information Technology
UNIVERSIDAD NACIONAL SAN LUISGONZAGA DE ICA (UNICA)
Advisor: Lorgio Omar Rosales Papa
Academic Employment
Academic Employment
2023–Now
UNIVERSIDAD NACIONAL DE INGENRIA (UNI)
Lecturer
2025-Now
UNIVERSIDAD NACIONAL DEL CALLA0 (UNAC)
Lecturer
2013–2018
PONTIFICIA UNIVERSIDAD CATÓLICA DEL PERÚ (PUCP)
Assistant Teacher
March-May/2018
UNIVERSIDAD PERUANA DE CIENCIAS APLICADAS (UPC)
Assistant Teacher
Visiting Appointments
Visiting Appointments
01/2024-02/2024-Instituto de Matematica Pura E Aplicada (IMPA)
Rio de Janeiro, Brazil
Post-doctoral summer program 2024 (https://impa.br/en_US/eventos-do-impa/2024-2/programa-de-pos-doutorado-de-verao-2024/)
10/2022-11/2022 - Rhenish Friedrich Wilhelm University of Bonn
Bonn, Germany
Doctoral visit
01/2022-09/2022 - Georg-August-Universität Göttingen
Göttingen, Germany
Doctoral visit
01/2022-09/2022 - Leibniz Universität Hannover
Hannover, Germany
Doctoral visit
Publications
Publications
Rina Paucar; Claudia Schoemann. On the Kernel of the Gysin Homomorphism on Chow Groups of Zero Cycles. Publications mathématiques de Besançon. Algèbre et théorie des nombres (2024), pp. 59-104. doi : 10.5802/pmb.56. https://pmb.centre-mersenne.org/articles/10.5802/pmb.56/
Paucar Rojas, R. R.; Schoemann, C. (2022). A theorem on zero cycles on surfaces. Selecciones Matemáticas, 9(01), 161 - 166. https://doi.org/10.17268/sel.mat.2022.01.13
Paucar Rojas, R. R. (2018). Resolution of Irreducibles Quasi Ordinary Surfaces. Selecciones Matemáticas, 5(02), 230-240. https://doi.org/10.17268/sel.mat.2018.02.09
Other research
Other research
My PhD dissertation, "On the Kernel of the Gysin Homomorphism on Chow Groups of Zero Cycles and Applications"
https://repositorio.uni.edu.pe/bitstream/20.500.14076/27184/1/paucar_tr.pdf
My Master dissertation: "Desingularización de superficies casi ordinarias irreducibles"
https://tesis.pucp.edu.pe/server/api/core/bitstreams/e62a07fc-4842-4e17-8225-2001438ca35b/content
Talks
Talks
July/2025-Winter Workshop at IMCA
Lima, Peru
On the Pointwise Constant Cycle Curves on K3 Surfaces
January/2025-XVIII International Fast Workshop on Applied and Computational Mathematics
Trujillo, Peru
Rational curves and points on K3 surfaces
December/2024-Actividades de fin de Año IMCA
Lima, Peru
On a Bloch-Beilinson conjecture and ccc
September/2024-“Trigésimo noveno aniversario de la facultad de Ciencias” En Homenaje a: Mag. Lorenzo Chamorro y Dr. Vicente Campos
Ica, Peru.
Sobre algunos problemas relacionados con la representabilidad de grupos de Chow
August/2024 - V Latin American School of Algebraic Geometry (V ELGA)-CIMPA School.
Cabo Frio, RJ, Brazil
On the 0-cycles on surfaces and the Gysin kernel
July/2024 - The Mordell conjecture 100 years later.
Massachusetts Institute of Technology (MIT)-Cambridge, Massachusetts, USA.
On A special case of Bloch-Beilinson conjecture (https://mordell.org/)
March/2024-LEGAL (Liberdade em Geometria Algébrica)
Teresópolis, Rio de Janeiro, Brazil
A result on the Gysin kernel
February/2024-Colóquio dos Alunos
IMPA, RJ, Brazil
On the kernel of the Gysin homomorphism of Chow groups of 0-cycles
December/2023-XXXVII Coloquio SMP
Instituto de Matemática y Ciencias Afines - IMCA, PERU
On the Gysin kernel and 0-cycles
September/2023-II Congreso Internacional de Matemática y Aplicaciones -Trigesimo octavo Aniversario de la Facultad de Ciencias
Universidad Nacional San Luis Gonzaga-PERU
Las conjeturas estandar sobre ciclos algebraicos
September/2023 - XIII International conference of the Georgian mathematical union
BATUMI SHOTA RUSTAVELI STATE UNIVERSITY, GEORGIA
On the kernel of the Gysin homomorphism on Chow groups
August/2023 - Early Number Theory Researchers Workshop 2023
BIELEFELD UNIVERSITY, GERMANY
A result on zero cycles on surfaces
January/2023 - XVI International Fast Workshop on Applied and Computational Mathematics 2023
UNIVERSIDAD NACIONAL DE TRUJILLO-GMSM, PERU
The Gysin kernel, Bloch’s conjecture and Constant Cycle Curves (ccc)
December/2022 - I Congreso Internacional de Matemática y Aplicaciones. Mg. Néstor Manuel Vargas Maya
UNIVERSIDAD NACIONAL SAN LUIS GONZAGA DE ICA, PERU
Sobre la representabilidad de 0-ciclos en superficies
November/2022-Complex Algebraic Geometry Informal Preprint Seminar
BONN UNIVERSITY , GERMANY
Geometric representability of 1-cycles on rationally connected threefolds after Voisin.
October/2022-Research visit
UNIVERSITÉ DE LA POLYNÉSIE FRANCAISE - Laboratoire GAATI
On the Gysin kernel and Bloch’s conjecture
May/2022 - Student Algebraic Geometry and Foliations Seminar at IMPA
IMPA, BRASIL (Online)
On the representability of Chow groups of 0-cycles
April/2022-Working seminar
LEIBNIZ UNIVERSITY HANNOVER, GERMANY
Mumford’s Theorem
January/2022-XV-INTERNATIONAL FAST WORKSHOP ON APPLIED AND COMPUTATIONAL MATHEMATICS 2022
UNIVERSIDAD DE TRUJILLO, PERU
Un Teorema sobre Cero Ciclos en Superfcies
December/2020-Navidad IMCA
IMCA, PERÚ (Online)
La naturaleza motívica de la conjetura de Bloch
January/2018-XI Fast WorkShop on Applied and Computational Mathematics
UNIVERSIDAD NACIONAL DE TRUJILLO, PERU
Desingularización de superficies casi ordinarias irreducibles
Posters
Posters
September/2022-Algebraic Geometry on occasion of Klaus Hulek‘s 70th birthday
Leibniz Universität Hannover, Germany (https://sites.google.com/view/hulek70).
The Gysin kernel and Bloch's conjecture.
May/2022-GAEL XXIX
LABORATOIRE DE MATHÉMATIQUES D’ORSAY, UNIVERSITÉ PARIS-SACLAY , FRANCE
On the Kernel of Gysin homomorphism of Chow groups of 0-cycles
October/2021-Algebraic Geometry Northeastern Series (AGNES): Showcase
BOSTON COLLEGE, UNITED STATES (Online)
On the Gysin Kernel
January/2020-Primer Congreso Internacional Multidisciplinario de Matemática de la Facultad de Ciencias de la Universidad Nacional de Ingeniería CIMM-UNI
UNIVERSIDAD NACIONAL DE INGENERÍA, PERU
La conjetura de Bloch en superficies con género geométrico
September/2019-VII Escuela IMCA: Algebraic Geometry (Advances in algebraic cycles)
INSTITUTO DE MATEMÁTICAS Y CIENCIAS AFINES, PERU
Towards the Classification of General Type Surfaces
July/2018-Geometry and Scaling of Random Structures
UNIVERSIDAD DE BUENOS AIRES, ARGENTINA
Resolution of irreducible quasi ordinary surfaces
January/2018-II Encuentro de Mujeres Matemáticas en América Latina
UNIVERSIDAD AUSTRAL, VALDIVIA, CHILE
Una introducción a la resolución de superficies casi ordinarias
Conferences, schools and workshops attended/expect to attend
Conferences, schools and workshops attended/expect to attend
August/2024-V Latin American School of Algebraic Geometry (V ELGA)
CIMPA School – Cabo Frio, RJ, August 12-23, 2024 (https://impa.br/en_US/eventos-do-impa/2024-2/v-latin-american-school-of-algebraic-geometry-and-applications-v-elga/)
July/2024-ANTS XVI
Massachusetts Institute of Technology(MIT)-Cambridge, Massachusetts, USA (https://antsmath.org/ANTSXVI/)
July/2024-The Mordell conjecture 100 years later
Massachusetts Institute of Technology(MIT)-Cambridge, Massachusetts, USA (https://mordell.org/)
October/2023-Group Theory and Number Theory: Interactions
Princeton University (https://sites.google.com/view/tiep60conference)
August/2023-Prospects in Geometry and Global Analysis
Castle Rauischholzhausen (https://www.mathematik.uni-marburg.de/~agricola/rauisch2023/details.html)
August/2021-AGRA IV - Aritmética, Grupos y Análisis Part I.
IMPA - ICTP (Online)
July/2021-Graduate Summer School
PARK CITY MATHEMATICS INSTITUTE, IAS, U.S.A (online)
January/2021- Arizona Winter Semester 2021: Virtual School in Number Theory
THE UNIVERSITY OF ARIZONA, SOUTHWEST CENTER FOR ARITHMETIC GEOMETRY
June/2019-Geometry and Arithmetic of Algebraic Varieties
UNIVERSITÄT BONN, GERMANY
April-July/2019-Trimester Program Reinventing Rational Points
INSTITUT HENRI POINCARÉ, FRANCE
July/2018-AGRA III on Arithmetic, Groups and Analysis
ACADEMIA NACIONAL DE CIENCIAS, CÓRDOVA, ARGENTINA
August/2017-CIMPA Research School on Group Actions on Algebraic Variety
PONTIFICIA UNIVERSIDAD CATÓLICA DEL PERU
January/2016-CIMPA-ICTP School on Toric Methods on Geometry, Arithmetics and Dynamics
PONTIFICIA UNIVERSIDAD CATÓLICA DE CHILE
August/2015-Peruvian-German Winter School on the Finite Element Method Mathematical Analysis and Computational Practice
PONTIFICIA UNIVERSIDAD CATÓLICA DEL PERÚ
Organized events
Organized events
Seminar on Algebraic Geometry Held online in May-June 2025 (with Joe Palacios, Ronald Mas, Pablo Flores) .
Teaching experience
Teaching experience
UNIVERSIDAD NACIONAL DE INGENERÍA (UNI) : Lecturer
2025-2. CM2B1: Linear algebra II
2025-2. BMA03: Linear algebra
2025-2. CM060: Algebraic structures
2025-1 CM2H1 : Discrete Mathematics
2025-1. CM2B1: Linear algebra II
2025-1. CM1B2: Linear algebra I
2025-1 BMA01: Diferential Calculus
2025-1 CM2I2: Estructuras Algebraicas
2024-2 CM2H1 : Discrete Mathematics
2024-2. CM1B2: Linear algebra I
2024-2 BMA01: Diferential Calculus
2024-2 BM2A1: Advanced Differential and Integral Calculus
2024-2. BMA03: Linear algebra
2024-1 CM2A2A :Real Analysis
2024-1 CM2H1 : Discrete Mathematics
2024-1 BMA01: Diferential Calculus
2023-2. CM1B2: Linear algebra I
2023-2. CM2B1: Linear algebra II
2023-2 BMA01: Diferential Calculus
2023-2 BM2A1: Advanced Differential and Integral Calculus
2023-1. CM2B1: Linear algebra II
2023-1 BMA01: Diferential Calculus
2023-1. CM1B2: Linear algebra I
2023-1. BMA02: Integral Calculus
UNIVERSIDAD NACIONAL DEL CALLAO (UNAC) : Lecturer
2025-B. ES933 :Thesis 1
2025-B. ES718 :General topology
2025-B. MA703 :Measure and Integration
2025-A. ES933 :Thesis 1
2025-A. EE-502 : Introduction to differential equations
PONTIFICIA UNIVERSIDAD CATÓLICA DEL PERÚ (PUCP) : Assistant teacher
2024-1. MAT243:Algebra 3
2018-1. 1MAT04: Algebra matricial y geometria analítica
2018-1. 1MAT05: Fundamentos de cálculo
2018-1. 1MAT07: Cálculo integral
2018-1. 1MAT08: Cálculo en varias variables
2018-1. MAT116: Matemática para economía y finanzas
2017-2. 1MAT04: Algebra matricial y geometria analítica
2017-2. 1MAT05: Fundamentos de cálculo
2017-2. 1MAT06: Cálculo diferencial
2017-2. 1MAT08: Cálculo en varias variables
2017-2. MAT116: Matemáticas 1
2017-1. 1MAT04: Algebra matricial y geometria analítica
2017-1. 1MAT05: Fundamentos de cálculo
2017-1. 1MAT07: Cálculo integral
2017-1. 1MAT08: Cálculo en varias variables
2017-0. 1MAT129: Cálculo 2
2016-2. MAT117: Matemáticas básicas
2016-2. MAT119: Cálculo 1
2016-2. MAT139: Cálculo 3
2016-1. MAT117: Matemáticas básicas
2016-1. MAT119: Cálculo 1
2016-1. MAT129: Cálculo 2
2016-1. MAT139: Cálculo 3
2016-0. 1MAT129: Cálculo 2
2015-2. MAT117: Matemáticas básicas
2015-2. MAT119: Cálculo 1
2015-2. MAT129: Cálculo 2
2015-2. MAT139: Cálculo 3
2015-2. EST145: Estadística
2015-1. MAT117: Matemáticas básicas
2015-1. MAT119: Cálculo 1
2015-1. MAT129: Cálculo 2
2015-1. MAT139: Cálculo 3
2015-1. MAT125: Matemática 2
2015-0. 1MAT129: Cálculo 2
2014-2. MAT117: Matemáticas básicas
2014-2. MAT119: Cálculo 1
2014-2. MAT129: Cálculo 2
2014-2. EST145: Estadística
2014-2. EST103: Estadística
2014-1. MAT117: Matemáticas básicas
2014-1. MAT119: Cálculo 1
2014-1. MAT129: Cálculo 2
2014-1. MAT139: Cálculo 3
2014-1. EST103: Estadística
2014-0. EST103: Matemática básica
2013-2. MAT117: Matemáticas básicas
2013-2. MAT119: Cálculo 1
2013-2. MAT129: Cálculo 2
2013-2. MAT139: Cálculo 3
2013-2. EST103: Estadística
2013-1. MAT117: Matemáticas básicas
2013-1. MAT129: Cálculo 2
2013-1. EST103: Estadística
UNIVERSIDAD PERUANA DE CIENCIAS APLICADAS (UPC) :Assistant teacher
2018-1. MA263: Cálculo II
Languages
Languages
Spanish-Mother tongue
English-Advanced Level
French-Intermediate Level
German-Basic knowledge.
Quechua-Second Mother tongue
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