# mathface.com

> TKS Mathface


## Posts

- [OPEN POSTDOCTORAL POSITIONS](https://mathface.com/2022/03/open-positions/open-postdoctoral-positions/): OFFICIAL PAGE: https://iitgn.ac.in/careers/staff   I have openings of 2 postdoctoral positions in my research group at IIT GN. In case you are interested please see the full advertisement here: PDF Job Description: The post-doctoral fellows will be expected to work in the interface of the areas of algebraic/differential/symplectic geometry for surfaces or higher dimensional algebraic varieties, also over fields of positive characteristics. A strong background in algebra would be preferred. We hope that the selected candidates will bring an interesting mix of new ideas and techniques to work with in our research group. The selected postdoctoral candidates will be mentored also on<div class="border bottom-border text-center"><br />
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- [Quiz on Algebraic Curves and Moduli](https://mathface.com/2020/10/teaching/quiz-on-algebraic-curves-and-moduli/): We had a fun* quiz show format final exam for our course on Algebraic Curves. *Well, I had a lot of fun in making it and then testing it out with Julian and then hosting it. I hope the students also enjoyed it. The philosophy behind it was that I wanted my students to see what kind of things they can easily compute on spot with theorems like Riemann-Roch and Hurwitz’s formula and also to make them aware of easy pitfalls and common misconceptions that one can have with invariants like Hilbert polynomials or representable functors. The grading scheme was<div class="border bottom-border text-center"><br />
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## Pages

- [Teachings](https://mathface.com/teachings/): If you click on course name it should redirect you to the course webpage (if it exists), some courses have resources. I plan to keep them updated.   Semester I 2024-25 MA205: Several Variale Calculus.     Semester II 2023-24 MA628: Algebra II: Galois Theory and Modules MA592: Special Topics in Mathematics:Mathematics in India till 1500 CE, IIT Gandhinagar, March-April 2024 MA592: Special Topics in Mathematics: Mathematics inIndia till 1500 CE, IIT Gandhinagar, Feb-April 2024 Semester I 2023-24 MA632: Applied Statistics MA691-IV: Special Topics-Elliptic Curves and Surfaces.   Semester II 2022-23 MA 202: Statistics & Probability to would be (could be or maybe) engineers<div class="border bottom-border text-center"><br />
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- [Past Seminars](https://mathface.com/past-seminars/): Seminars Organized GANIT: Geometry, Algebra, Numbers & Integers, Topology  Seminar at IITGN. It is conducted in Hybrid mode. In case you would like to give a talk please just write me an email.   Upcoming Seminar: Mirror Symmetry: Constructions available in positive  characteristics, Chennai Mathematical Institute/IIT GN. Learning Seminar: Sheaves on Topology, IITGN, Semester II, 2021-22. Working Seminar on Derived Algebraic Geometry, IST Austria, Summer 2019. (Organizer with Quoc Ho) Formal Goemetry and Deformation Theory, FU Berlin, Winter 2017/18, (Organizer with Pedro A. Castillejo ). p-adic Hodge Theory, FU Berlin, Summer 2017, (Organizer with Marcin Lara). Crystalline Cohomology, FU Berlin, winter 2016/17, (Organizer with Efstathia Katsigianni). Seminars<div class="border bottom-border text-center"><br />
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- [MA 636: Riemannian Geometry](https://mathface.com/ma-636/): Course Venue and Timings Classes will be 1.5 hours long twice a week. Classroom: Important Dates The Course will begin in Janurary. Grading Policy Syllabus Class Notes Class Discussions
- [Course Page: Algebraic Curves and Riemann Surfaces](https://mathface.com/teaching-acrs/): Dates: 20th September 2021-21st December 2021 Spatiotemporal Coordinates: Monday and Tuesday 9:10- 10:25 am @Zoom. Email me in case you would like to attend the course. Lecture notes Lecture 1: September 20th: Notes Lecture 2: September 21st: Notes Lecture 3: September 27th: Notes. Lecture 4: September 28th: Notes. Errata: Quotient of a Hausdorff space is not Hausdorff: See here . And a locally Euclidean space also need  not be Hausdorff. In the exercise sheet 1, we saw the counter example for both, it is the line with double origin.  Lecture 5: October 4th: Notes. Lecture 6: October 5th: Notes. Lecture 7:<div class="border bottom-border text-center"><br />
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- [Algebraic Curves and Moduli Spaces (Course @IST Austria, Spring 2020)](https://mathface.com/algebraic-curves-and-moduli-spaces-course-ist-austria-spring-2020/): This has now evolved into an online course, if you would like to attend please contact me via email and I will send you the link to participate. On this page you will find lecture notes and exercise sheets. If you notice any errors, please let me know. Final Exam I took a (virtual) Quiz as a final exam for the course, you can find the details and quiz slides here.  Schedule Lectures on Monday: 13:15-14:30 and Wednesday: 16:00-17:15. Lecture Notes Lecture-7-cohomology Lecture-8-proper-and-affine-curves Lecture-9-Riemann-Roch-1 Lecture-10-Dualizing-sheaf-and-theorem Lecture-11-Curve-of-genus-zero Lecture-12-Hurwitzs-theorem Lecture-13-Classifying-Elliptic-curves Lecture-14-Curves-of-genus-2-and-3 Lecture 15-Moduli functors Lecture 16-Flat families and Hilbert scheme Lecture 17-Hilbert schemes<div class="border bottom-border text-center"><br />
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- [About me](https://mathface.com/): Welcome to the webpage of Tanya Kaushal Srivastava. I am an Algebraic Geometer. Current Position: Assistant Professor IIT Gandhinagar Indian Institute of Technology GandhinagarPalaj, Gandhinagar – 382355, Gujarat, India. Email: ks(dot)tanya(at)iitgn(dot)ac(dot)in Official Webpage: https://iitgn.ac.in/faculty/maths/fac-tanya Till August 2021, I was an Infosys Posdoctoral fellow at Chennai Mathematical Institute. From November 2018 to October 2020, I was a  postdoc in Hausel group  at IST Austria.  Before that I was a PhD student of Prof. Dr. Hélène Esnault at Freie Universität Berlin.  And even before that I was a BS-MS student at IISER Mohali, India. Reserach Interests The question that I am really curious about: Which geometrical properties of an algebraic variety  can be determined by<div class="border bottom-border text-center"><br />
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