Springer graduate text in mathematics 9, springer, new york, 2010 r. I am a professor in the mathematics department at iowa state university. Somewhat serendipitously, the same problem for k ris of interest to the combinatorialists studying algebraic statistics, who were wellrepresented in berkeley last fall. Mori, birational geometry of algebraic varieties, cambridge tracts in mathematics 4, cambridge university press, cambridge, 1998, isbn 0521632773. In particular, algebraic ktheory and equivariant stable homotopy theory. Teena m gerhardt curriculum vitae departmentofmathematics michiganstateuniversity d322wellshall eastlansing,mi48824 phone.

Attending a workshop at msri, berkeley, 2327 march, 2020. Differential algebraic topology from stratifolds to exotic spheres matthias kreck american mathematical society providence, rhode island graduate studies in mathematics volume 110. Indeed the present book can be regarded as a logical consequence for computational electromagnetism of eilenberg and steenrods foundations of algebraic topology es52, whitneys geometric integration theory whi57 and some di erential topology. Spring 2018 algebraic topology ii graduate course, 9 students fall 2017 calculus iii 82 students spring 2017 introduction to algebraic topology 8 students fall 2016 calculus iii 125 students summer 2016 ordinary differential equations 16 students spring 2016 linear algebra 80 students fall 2015 calculus ii 17 students. Indeed the present book can be regarded as a logical consequence for computational electromagnetism of eilenberg and steenrods foundations of algebraic topology es52, whitneys geometric integration theory. Dec 2000 msri berkeley subfactors and algebraic aspects of quantum eld theory. Higher categories and categori cation, msri, berkeley, ca, usa 2020 connections for women. Nov 2000 kyoto modular invariance, ade, subfactors and geometry of moduli spaces. Poonens research focuses on number theory and algebraic geometry. Cme group msri prize in innovative quantitative applications. Geometry and topology are by no means the primary scope of our book, but they provide the most e. Petersburg branch of the steklov mathematical institute of the russian academy of sciences.

After postdoctoral positions at msri and princeton university, he served on the faculty at u. Lecture series, introductory workshop on derived algebraic geometry, msri, usa. Algebraic topology, january 27 31, 2014 at msri, berkeley. Algebraic geometry and langlands program workshop, tifr mumbai. August 2009, introductory workshop on symplectic and contact geometry, msri, berkeley ca lefschetz fibrations and symplectic 4manifolds.

It is felt that it is inadvisable to attempt a definitive description of topology as understood for this journal. Research member of the msri program on algebraic topology and visiting scholar at berkeley. In a beautifully designed building on the hills above the berkeley campus and overlooking san francisco bay, about 1,700 mathematicians from around the world come each year to participate in research programs in a wide variety of. By translating a nonexistence problem of a continuous map to a nonexistence problem of a homomorphism, we have made our life much easier. Conference on \classi cation of algebraic varieties, schiermonokoog, may 2009. My research is centered around algebraic topology, and also includes aspects of alge braic ktheory. Teena m gerhardt curriculum vitae michigan state university. Computer science seminar, lawrence berkeley national labs, usa. Msri reimagining the foundations of algebraic topology. Msri prize in innovative quantitative applications cme group. Rediscovery in subfactors of the temperleylieb algebra.

Msri, subfactors, knots and the development of quantum topology. International workshop on algebraic topology, beijing international center for mathematical research, peking university, august 2020 followup workshop to jtp \ topology, hausdor institute for mathematics, bonn, august 2020 1. Using algebraic topology, we can translate this statement into an algebraic statement. Esfpesc networking programme applied and computational algebraic topology newsletter 2 december 2011. Algebraic topology of manifolds, oxford, september 1115, 2017. Conference on \higher dimensional algebraic geometry. Msri 19841985 operator algebras year side by side with low dimensional topology year.

Topology and its applications 35 1990 235238 northholland 235 stevo todortevic mathematical institute, belgrade, yugoslavia department of mathematics, university of toronto, toronto, nnt. Page 3 of random and arithmetic structures in topology dates. Cme group, the worlds leading and most diverse derivatives. Certainly the subject includes the algebraic, general, geometric, and settheoretic facets. Dissertation \topology and exterior logarithmic geometry of algebraic hypersurfaces, in preparation towards the doctor sci. Geometric and algebraic topological methods can lead to nonequivalent quantizations of a classical system corresponding to di. International workshop on algebraic topology, beijing international center for mathematical research, peking university, august 2020 followup workshop to jtp \topology, hausdor institute for mathematics, bonn, august 2020 1. Focusing more on the geometric than on algebraic aspects of the subject, as well as its natural development, the book conveys the basic language of modern algebraic topology by exploring homotopy, homology and cohomology theories, and examines a variety of spaces. Easy reading on topology of real plane algebraic curves viatcheslav kharlamov and oleg viro this is a shortened version of introduction to book topological properties of real plane algebraic curves by v. Plenary lecture, clay research conference, oxford, september 2016. The mathematical focus of topology and its applications is suggested by the title. Seminar on discrete mathematics, university of california, berkeley, april 1997.

Mathematical sciences research institute 17 gauss way berkeley, ca 947205070 education. Msri, subfactors, knots and the development of quantum. International workshop on algebraic topology, southern university of science and tech nology, shenzhen, china. Suppose xis a topological space and a x is a subspace. Hatcher, algebraic topology cambridge university press, 2002. The institute is located at 17 gauss way, on the university of california, berkeley campus, close to grizzly peak, on the. Besides standing on its own, the symposium will also be useful to attendees intending to participate in the fall 1999 activities at msri by providing mathematical background and context regarding these areas and their con. Mathematics mathematical sciences research institute msri was founded by the national science foundation in 1981. Special session on lie groups and physics, ams meeting at columbia, missouri, november 1996. Curriculum vitae for lisbeth fajstrup directed algebraic. Geometric and algebraic topological methods in quantum. Msri workshop on \combinatorial, enumerative and toric geometry, berkeley, march 2009. Furthermore, having taken a basic course on dynamical systems could be useful yet this is not mandatory.

Msri, berkeley january 2018 mirror symmetry and related topics, miami january 2018 categorical symplectic topology, cambridge march 2019 string eld theory, bv quantization, and moduli spaces, stony brook may 2019 languages turkish native, english fluent computer skills latex, c citizenship turkey curriculum vitae, yusuf bar. Eisenbud is chair of the editorial board of the algebra and number theory journal, which he helped. August 2009, introductory workshop on tropical geometry, msri, berkeley ca 3 lectures some tropical aspects of mirror symmetry. Reimagining the foundations of algebraic topology april 7. The mathematical sciences research institute msri, founded in 1982, is an independent nonprofit mathematical research institution whose funding sources include the national science foundation, foundations, corporations, and more than 90 universities and institutions. Reimagining the foundations of algebraic topology, april 07, 2014 april 11, 2014 at msri, berkeley, ca usa.

The topics range over algebraic topology, analytic set theory, continua theory, digital topology, dimension theory, domain theory, function spaces, generalized metric spaces, geometric topology, homogeneity, in. Basic algebraic topology and its applications springerlink. Derived algebraic geometry and birational geometry and moduli spaces introductory workshop, msri, berkeley january 31 to february 8, 2019 1 d. M5s 1al msri, 1oofi centenial drive, berkeley, ca 94720, usp. Free algebraic topology books download ebooks online. Awarded annually, the cme group msri prize in innovative quantitative applications rewards exemplary work in the fi eld of mathematical sciences and recognizes the vital impact of quantitative research and its application to shaping global fi nancial markets.

The mathematical sciences research institute msri partners with cme group in this initiative. Teubner, stuttgart, 1994 the current version of these notes can be found under. Free algebraic topology books download ebooks online textbooks. Awarded annually, the cme group msri prize in innovative quantitative applications rewards exemplary work in the field of mathematical sciences and recognizes the vital impact of quantitative research and its application to shaping global financial markets. Mathematics department, carver hall, 411 morrill rd iowa state university ames, ia 50011 tel. Alex furman university of illinois at chicago, tsachik gelander weizmann institute of science description the study of locally symmetric manifolds, such as closed hyperbolic manifolds, involves geometry of the. Claremont topology seminar, pomona college, claremont, ca 1110 fall western section ams meeting, special session on algebraic structures in knot theory 1110 colloquium, bryn mawr college, philadelphia, pa 1010 algebra seminar uc irvine, ca 0510 graduate student seminar uc berkeley, ca 0410 postdoctoral seminar, msri, berkeley, ca 0410. Workshop on stacks and moduli spaces, msri berkeley. October 2009, topology seminar, uc davis, davis ca. Editorial committee david cox chair rafe mazzeo martin scharlemann 2000 mathematics subject classi. Easy reading on topology of real plane algebraic curves. Higher categories and categori cation, msri, berkeley, ca, usa 2019 women in topology iii, bonn. This is a basic note in algebraic topology, it introduce the notion of fundamental groups, covering spaces, methods for computing fundamental groups using seifert van kampen theorem and some applications such as the brouwers fixed point theorem, borsuk ulam theorem, fundamental theorem of algebra.

645 796 1353 253 282 911 1006 1312 1437 669 557 58 1130 912 958 639 598 1499 687 152 438 1103 1025 1449 297 636 1407 110 904 1109 857 1162 6 639 1238 1279 591 1470 410 91