Pedro Ferreira dos Santos

Pedro Ferreira dos Santos


Phone (351) 218 417 134
Email pedfs@math.ist.utl.pt
Office Edifício de Pós-Graduação, 4th floor, room 4.13
Postal Address Departamento de Matemática
Instituto Superior Técnico
Av. Rovisco Pais
1049-001 Lisboa, Portugal



Position

Professor Auxiliar

Member of the Center for Mathematical Analysis, Geometry and Dynamical Systems


Education

Ph.D. in Mathematics, 1999, State University of New York at Stony Brook

Master of Arts in Mathematics, 1995, State University of New York at Stony Brook

Licenciado em Matemática Aplicada e Computação, 1992, Instituto Superior Técnico




Research Interests

Algebraic Topology, Algebraic Geometry



Research Papers

An explicit cycle map for the motivic cohomology of real varieties (joint with Paulo Lima-Filho ) Comment. Math. Helv. 92 (2017), no. 3, 429--465.

Segal-Wilson approach to integrable systems and Riemann-Hilbert problems (joint with António F. dos Santos) J. Math. Anal. Appl. 443 (2016), no. 2, 797--816.

Relating equivariant and motivic cohomology via analytic currents (joint with Paulo Lima-Filho and Robert M. Hardt) Geometry and topology of submanifolds and currents, 19--40, Contemp. Math. , 646, Amer. Math. Soc., Providence, RI, 2015.

Bigraded invariants for real curves (joint with Paulo Lima-Filho ) Algebr. Geom. Topol. 14 (2014), no. 5, 2809--2852.

Factorization of a class of symbols with outer functions (joint with António F. dos Santos) J. Math. Anal. Appl. 413 (2014), no. 1, 185--194.

Lax equations, singularities and Riemann-Hilbert problems (joint with António F. dos Santos) Math. Phys. Anal. Geom. 15 (2012), no. 3, 203--229.

Integral Deligne cohomology for real varieties (joint with Paulo Lima-Filho ) Math. Ann. 350 (2011), no. 4, 973--1022.

Bigraded equivariant cohomology of real quadrics (joint with Paulo Lima-Filho), Advances in Mathematics 221 (2009) 1247--1280.

Stable equivariant abelianization, its properties, and applications , (joint with Zhaohu Nie) Topology and its Applications 156 (2009) 979--996.

Matrix Riemann-Hilbert problems and factorization on Riemann surfaces, (joint with M. Cristina Cámara and António F. dos Santos) Journal of Functional Analysis 255 (2008), no. 1, 228--254.

Lax equations, factorization and Riemann-Hilbert problems (joint with M. Cristina Cámara and António F. dos Santos) Port. Math. (N.S.) 64 (2007), no. 4, 509--533.

Quaternionic algebraic cycles and reality (joint with Paulo Lima-Filho), Transactions of the American Mathematical Society, 356 (2004) 4701--4736.

Algebraic cycles on real varieties and Z/2-equivariant homotopy theory, Proceedings of the London Mathematical Society 3 86 (2003), 513--544.

A note on the equivariant Dold-Thom theorem, Journal of Pure and Applied Algebra , 183 (2003), 299--312.






Some Local Activities

Seminário de Álgebra




Teaching (in portuguese)


Academic Year 2008/2009

1º Semester Análise Complexa e Equações Diferenciais


Academic Year 2007/2008

1º Semester Análise Complexa e Equações Diferenciais


Academic Year 2005/2006

1º Semester Álgebra


Academic Year 2004/2005

1º Semester Topologia Algébrica

1º Semester Álgebra


Academic Year 2003/2004

1º Semester Álgebra


Academic Year 2002/2003

1º Semester Análise Matemática III

2º Semester Geometria Algébrica


Academic Year 2001/2002

1º Semester Análise Matemática III


Academic Year 2000/2001

1º Semester Análise Matemática III

2º Semester Geometria Algébrica




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