Updated on Spring ‘25 from data in Courses of Study v’23 where the course codes are not updated. Sorted in the descending alphabetical order of fields. “Hard pre-requisite” mean they require the entire first semester content of the pre-requisites.
| pre-reqs other than Sem 5 courses (blanks are unknown to me!) | MTH electives | field | status |
|---|---|---|---|
| Topological data analysis | topology in applied | new, last offered in Monsoon ‘24 | |
| topology | MTH410: Algebraic topology | topology | compulsory to be offered |
| Algebraic topology (hard but depends on instructor) | MTH436: An introduction to Knots and Braids | topology | last offered in Spring ‘24 |
| Algorithms and complexity | theoretical computer science | renewed, last offered in Spring ‘25 | |
| MTH435: Random processes | probability | last offered in Monsoon ‘22 | |
| MTH405: (Probability Theory) | probability | compulsory to be offered | |
| MTH430: Random graphs | probability | ? | |
| MTH413: Advanced probability | probability | ? | |
| MTH419: Number theory | number theory | last offered in Monsoon ‘24 | |
| MTH409: (Discrete Mathematics) | mixed | compulsory to be offered | |
| manifolds | MTH427: Introduction to global analysis | differential geometry but algebraic | less likely to get offered, request someone!! |
| topology | Manifolds | differential geometry | compulsory to be offered |
| manifolds (hard) | MTH408: Riemannian geometry | differential geometry | last offered in Monsoon ‘24 |
| MTH431: Applications of Fourier analysis | analysis | ? | |
| ODEs, Functional analysis | MTH407: (Partial Differential Equations) | analysis | compulsory to be offered |
| Real analysis, ODEs, Functional analysis | MTH406: Fourier analysis | analysis | last offered in Spring ‘25 |
| Complex analysis | MTH414: Advanced complex analysis | analysis | last offered in Spring ‘25 |
| Functional analysis | MTH420: Linear operators in Hilbert spaces | analysis | last offered in Spring ‘24 |
| commutative algebra | MTH426: Algebraic curves | algebraic geometry | last offered in Spring ‘24 |
| MTH437: An introduction to schemes | algebraic geometry | probably never getting offered | |
| MTH415: Enumerative problems in geometry | algebraic geometry | probably never getting offered | |
| nothing much, but for motivation algebra helps | MTH432: Category theory | algebra? | last offered in Spring ‘25 |
| MTH421: Combinatorial group theory | algebra, mixed | last offered in ? | |
| MTH416: Arithmetic of elliptic curves | algebra, mixed | last offered in Spring ‘25 | |
| MTH425: Geometric group theory | algebra, differential geometry? | less likely to get offered, request someone!! | |
| MTH418: Fuchsian groups | algebra, differential geometry? | last offered in Spring ‘24 | |
| groups | MTH429: Introduction to Lie groups | algebra with differential geometry | last offered in Spring ‘25 |
| MTH438: An introduction to Linear Algebraic Groups | algebra using algebraic geometry? | last offered in Monsoon ‘24 | |
| MTH439: Homological methods in Algebraic Topology | algebra from algebraic topology | ? | |
| MTH423: Structure of finite groups | algebra | ? | |
| MTH428: Commutative algebra and combinatorics | algebra | ? | |
| MTH433: Geometric algebra | algebra | ? | |
| Rings and modules | MTH411: Commutative and homological algebra | algebra | compulsory to be offered |
| MTH434: Quadratic forms over fields | algebra | last offered in Monsoon ‘23? | |
| Linear algebra, maybe Lie groups to know why work with Lie algebras | MTH424: Introduction to Lie algebras | algebra | last offered in Monsoon ‘23 |
| MTH412: Structure of algebras | algebra | last offered in Spring ‘24 | |
| groups and linear algebra | MTH422: Representations of finite groups | algebra | last offered in Spring ‘24 |
Yeah, don’t take these if you’re a BSMS…
History of courses offered
- Monsoon 2022
- MTH402 - Functional analysis CA
- MTH403 - Manifolds AM(M)
- MTH411- Commutative and homological algebra CK
- MTH414- Advanced complex analysis RP
- MTH418 - Fuchsian groups PS
- MTH420 - Linear Operators on Hilbert Spaces LS
- MTH432 - Category theory KHP
- MTH435 - Random Processes NS
- Monsoon 2023
- MTH401(OrdinaryDifferentialEquation) JK
- MTH402-Functionalanalysis SKP(M)
- MTH403-FieldsandGaloisTheory AG
- MTH404-Commutativeandhomologicalalgebra VRS
- MTH405-Probabilitytheory LS
- MTH406-Manifolds SDM
- MTH414:AdvancedComplexAnalysis RP
- MTH424:IntroductiontoLiealgebra TK
- MTH432-Categorytheory KHP
- Spring 2024
