Charles Aparecido de Almeida
Department of Mathematics University of S˜ao Paulo Rua do Mat˜ao, 1010
S˜ao Paulo, S˜ao Paulo, Brazil
Phone: +55 (31) 95769931 Email: charlesalmd@gmail.com
Homepage: www.ime.unicamp.br/ ra101869
Current Position
Post-Doctoral fellow at University of S˜ao Paulo, under supervision of Professor Kostiantyn Iusenko.
Education
PH.D. in Mathematics at University of Campinas, UNICAMP,2019
Title: The Geometry of Moduli Space of Sheaves on Projective Spaces Supervisor: Marcos Jardim
B.S. Mathematics, University of Campinas, 2014.
Research Interests
Geometry of the Moduli Spaces of Sheaves, and their cohomology modules. Strong and Weak Lefschetz Properties of Artinian Graded Modules, their relation with Differential Geometry.
Publications
1. C. Almeida, A. V. Andrade, R.M. Mir´o-Roig, Gaps in the number of generators of Togliatti systems, Journal of Pure and Applied Algebra, (2018), in press. https://doi.org/10.1016/j.jpaa.2018.07.009.
2. C. Almeida, A. V. Andrade, Lefschetz property and powers of linear form inK[x, y, z],Forum Mathe- maticum,Forum Mathematicum, Forum Mathematicum,30(4): 857—865 2018.
3. C. Almeida, M. Jardim, A. Tikhomirov, S. Tikhomirov New moduli components of rank 2 bundles on projective space, arXiv preprint arXiv:1702.06520, 2017.
Working Papers
4. C. Almeida, M. Jardim, A. Tikhomirov, Components of the moduli space of rank 2 sheaves of odd determinant.
5. C. Almeida, Spectrum of Torsion Free Sheaves and Applications to Moduli Spaces.
References
1. Professor Marcos Jardim, email: jardim@ime.unicamp.br;
2. Professor Alexander S. Tikhomirov, email: astikhomirov@mail.ru;
3. Professor Ricardo Miranda Martins, email rmiranda@ime.unicamp.br.
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Honors & Awards
Bronze medal at Brazilian Mathematical Olympiads for Public Schools, OBMEP 2009.
Honorable mention at Brazilian Mathematical Olympiads for Public Schools, OBMEP 2008.
Honorable mention at Brazilian Mathematical Olympiads for Public Schools, OBMEP 2007.
Honorable mention at Brazilian Mathematical Olympiads for Public Schools, OBMEP 2006.
Honorable mention at S˜ao Paulo Olympiad of Physics, 2003.
Invited Seminars
2018 III Brazilian Conference of Young Researchers in Pure and Applied Mathematics at the Algebraic Geometry section.
2017 Universidad Complutense de Madrid.
Conference Presentations
2019 Gaps in the Number of Generators of Togliatti Systems Part I, talk atCol´oquio de Geometria Aritm´etica do Rio de Janeiro, Rio de Janeiro, Brazil.
2018 Lefschetz Properties and Powers of Linear Forms, talk at the Algebraic Geometry section ofIII Brazilian Conference of Young Researchers in Pure and Applied Mathematics, Curitiba, Brazil.
2018 The Geometry of the Moduli Spaces of Sheaves on Projective Spaces, Campinas, poster at the event Moduli Spaces in Algebraic Geometry and Applicatinos, an ICM conference, Campinas, Brazil.
2017 New Moduli Components of Rank 2 Bundles on Projective Space, talk at the eventVector Bundles on Algebraic Geometry, Hessen, Germany.
2017 New Moduli Components of Locally free sheaves on Projective Spaces, poster presentation at Gael- G´eometrie Alg´ebrique en Libert´e, Bath, United Kingdom.
2017 Families of Stable Locally Free Sheaves on Projective Spaces, poster presentation atMEGA-Effective Methods in Algebraic Geometry, Nice, France.
2016 Rank 2 vector bundles with first cohomology module generated by two elements and apllications, poster at XXI Col´oquio Latino Americano de Algebra, Buenos Aires, Argentina.
2016 New families of Vector Bundles lying inBP3(2; 0, a2+b2), poster at Brazilian Algebra Meeting, 2016, Diamantina, Brazil.
2014 Introdu¸c˜ao a Geometrica Alg´ebrica (Introduction to Algebraic Geometry), poster at VII Simp´osio Nacional/ Jornadas de Inicia¸c˜ao Cient´ıfica, Rio de Janeiro, Brazil.
2014 Introdu¸c˜ao a Geometrica Alg´ebrica (Introduction to Algebraic Geometry), poster at XXII Congresso de Inicia¸c˜ao Cient´ıfica da Unicamp, Campinas, Brazil.
2013 M´etodos Construtivos em Teoria da Aproxima¸c˜ao (Constructive Methods in Approximation Theory), poster atXXI Congresso de Inicia¸c˜ao Cient´ıfica da Unicamp, Campinas, Brazil.
2012 Introdu¸c˜ao a Algebra Linear (Introduction to Linear Algebra), poster at XX Congresso de Inicia¸c˜ao Cient´ıfica da Unicamp, Campinas, Brazil.
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Teaching
University of Campinas
Calculus III (Differential equations) (Undergrad), first semester of 2016, teaching assistant for Professor Anne Bronzi.
Intensive Training Program for Mathematical Olympiads for Primary school Students, first and second semester of 2015.
Metric Spaces (Undergrad), first semester of 2014, teaching assistant for Professor Paulo Ruffino.
Other Relevant Informations
2017-Current Reviwer for ZBMATH (link to my reviews https://zbmath.org/?q=charles+almeida).
11/2016–11/2017 Visiting PhD student at Universit of Barcelona, Barcelona Spain, under supervision of Professor Rosa Maria Mir´o Roig.
11/2016–11/2017 Visiting PhD student at International School for Advanced Studies, Trieste, Italy.
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