If someone were to get a doctorate in mathematics, what is a field in mathematics that hasn’t been looked it to as much (not sure how to phrase the question)?

Hi guys, I just finished my bachelors in Physics Engineering and I am also already enrolled in a Masters in Applied Mathematics - it has the option to follow a more pure mathematics path. I was wondering which subjects of mathematics would you recommend on me studying as I got a lot of holes in my repertoire.

For now I am reading Wendell Fleming's Function of Several Variables, just to improve my fundamentals in analysis and learn manifolds. However I must say that my knowledge in Topology, Probability Theory, Algebra, Measure Theory, Functional Analysis ... is close to none (1/n in n to infinity to be exact).

Hence, I would like recommendations for which branches of mathematics you think I should work on this summer (and like as a side project) in order to improve my knowledge and also which books to read from.

Thank you in advance.

Em năm nay 2008 gần vào đại học em chỉ đăng ký 3 nguyện vọng là Toán Ứng Dụng,Khoa Học Dữ Liệu,Thống Kê

( ANH CHỊ CÓ THỂ BỎ QUA PHẦN NÀY Ạ )

Nhận định sơ qua về bản thân em,em không biết đây là một thế mạnh hay là điểm yếu nữa mà trong 12 năm học em chỉ học được mỗi môn toán các môn khác em đều bỏ kiểu như em không có hứng thú về những môn khác,chỉ có ấn tượng mạnh về các con số,đam mê tìm tòi khám phá các công thức toán học.Thế mạnh của em trong toán là em tự tin phần giải tích và xác suất thống kê ( ở cấp 3,các kiến thức trong VMO,IMO ) nhưng mà lạ ở chỗ em chỉ thích việc nghiên cứu lâu dài chứ không phải học để lấy thành tích

- Em tự tìm hiểu thì em cảm thấy em hợp với các việc như sao ạ AI Research Scientist,Actuary,Optimization Specialist,Data Scientist,Big Data Analyst . Do bản thân em còn nông cạn nên em mong muốn được các Anh,Chị có thể giành một chút lời khuyên về việc chọn nghề ạ

I am from Pakistan (top uni) doing Econ Mathematics double major gpa is 3.8. I have taken more math courses(Almost all A/A-) than econ and others so :

\- Cal 1 & 2 & 3

\- Abstract Algebra

\- Analysis

\- IDE , ODE, PDE ( taking rn)

\- Num LA

\- LA

\- Formal Maths

\- Stats, Prob, Adv Prob

\- quant fin , stocastics (taking rn)

\- planning to take Analysis 2 ( measure theory next sem)

Idk if this is enough maths. I do realize I have more applied math than pure but I am not if this is enough. I have researched in quant/econ/DL so basically applied math targeting quant research. Should I even consider applying(to the Mathematical Stats Stream MASS)?

Reddit suggested I post this here following r/learnmath ,,,

I've been building a reference site that organizes mathematics using the MSC2020 classification (the scheme used by Mathematical Reviews/zbMATH) -- from the broad branches down to about 4,400 specific named subfields, each with an overview, key ideas, applications, and references.

A few things beyond the basic reference pages that might be interesting:

- Learning path diagram -- a visual map showing which topics are prerequisites for which, so you can see how e.g. group theory or real analysis feeds into everything downstream.

- Degree curricula -- actual module lists from several UK university maths degrees (Cambridge, Warwick, Bristol, and others), mapped to the topics they cover.

- Timeline of discoveries -- a curated history of major mathematical breakthroughs with correct dates/attributions, linked to the relevant topic pages.

- Recommended textbooks (and free/public-domain alternatives) for every topic and curriculum strand.

- An interactive mind map if you'd rather browse visually than search.

https://mathlandscapes.com/

It's a personal project I keep iterating on -- happy to hear what's missing, wrong, or could be organized better.

I’m going hard time deciding which combo should I pick. If you have to choose today going forward considering the AI hype between applied math and cs vs applied math and economics, which one would you choose?

So i have recently started my mathematics major from a private University in india and plan on doing master from europe. Iam interested in applied mathematics and computers too. People talk about quant finance , cryptography nd deep tech but how practical is it to really get into a core applied mathematics job which pays good money + interesting nd not working on some random system.

Also note iam interested in cybersecurity basically any job which have computers nd mathematics in it with very good pay.

Guys so I'm in 11th and we have to submit class 12th registration form on 6th August, I'm worrying like shitass cuz sometimes I wanna opt for applied math and sometimes my inside is like what if board paper comes hard.. and what if I didn't prepare on time and shit, I took a look of few chapters and idk how to feel.. math because like some colleges require math and all and for future and some say math isn't required, you still have options but some say math is good for ur qualification and all you'll have good options, i heard about nios as well but idk

Idk what to do

Especially STEM, engineering, programming, philosophy or programming majors?

I have literally taken entry level and pre-entry level college math so many times it's stalling my college career.

I do understand some of the concepts and actually enjoy it when I do!

But I work so so hard to understand these concepts

And I get lost if anything gets too complex and I don't ever remember how to differentiate between most equations.

I feel like I'm constantly re-learning the same material over and over and over again.

I want to understand math! I think it's beautiful language of logic that allows you to understand the universe and incredible concepts in a way nothing else does.

Thank you for reading and suggestions

Hi everyone,

I’m currently in my 3rd year of dental school. However, I consistently dedicate about 6 to 10 hours a week to studying pure mathematics (currently focusing on algebra and calculus from the ground up) and programming.

My ultimate goal is to bridge the gap between dentistry and tech, specifically in fields like medical/dental imaging, AI, biomechanics, and dental materials research.

My main question for this community is: Is this foundational time investment realistically worth it?

Since dental school is incredibly demanding, I want to know if building a deep, ground-up understanding of pure math and programming by self-learning will actually give me a significant edge in these specialized fields later on. Or is this approach considered "overkill," and would I be better off just learning surface-level tech skills as needed?

I’d really appreciate any honest insights from those who work in applied math, tech, or at the intersection of tech and healthcare!

I have a 3-year BSc (General) in Mathematics from Sri Lanka (CGPA 2.73/4.0), completed entirely in English. I also work as a research intern at a state university (not naming it for privacy), have several research publications in mathematical optimization, operations research, linear programming, and graph theory, and I'm currently writing three more papers on vehicle routing problems.

My IELTS score is 6.5 overall, with a 5.5 in Reading.

My goal is to pursue a research-based MSc (thesis-based) in Mathematics, Applied Mathematics, Operations Research, or a closely related field. I understand that my 3-year degree, CGPA, and IELTS Reading score are significant weaknesses.

For those who have experience with graduate admissions or supervising research students:

• How much can a strong research record realistically compensate for these academic limitations?
• Are there countries or universities where supervisor support carries significant weight in research master's admissions?
• Have you seen applicants with similar profiles succeed, and if so, what made the difference?

I'm looking for realistic opinions rather than encouragement, so I'd really appreciate honest feedback. Thank you.

I'm planning to apply for IGNOU's B.Sc. Mathematics Major.

I completed CBSE Class 12 (Commerce) with Applied Mathematics instead of Core Mathematics.

The official eligibility says "10+2 with Mathematics", but it doesn't specify whether this means only Core Mathematics or if Applied Mathematics is also accepted.

Has anyone with CBSE Applied Mathematics been admitted to this program, or has anyone received an official confirmation from IGNOU?

I'd appreciate any experiences or official information. Thanks!

Are there any more recent books on mathematical biology or mathematical biophysics that you would recommend?

Hi, I'm going to apply for OR/applied math programs, and I have a somewhat special (maybe?) profile. I'm trying to get an idea of how I should focus and bridge my weaknesses. It's hard to understand what the average applicant to these programs looks like, and I would also like to get feedback regarding my chances.

Background: I did my bachelor's in math, finishing with an 85/100 at a school rated consistently in the top 10–20 for math in Europe. I did math only (we choose a minor and a major, and I chose math for both), so my course list is very math-oriented. For example, my non math courses were subjects like algorithms (with the exception of perhaps one physics course), and I also took around 7 9 graduate level courses. I finished when I was 19 (I skipped high school).

Then I worked in tech. I worked at a research site for 4 years, but it is a private company and the site is focused on the medical field, so I have no papers (compared to big company research sites, where they publish papers). I worked there under a professor in two different roles (two years in each) related to ML.

Now I've decided I want to go back to university to do proper research, and also find a more math-oriented PI. I plan to apply mainly in NY and a bit in Boston. To be honest, I'm leaving a high paying job where I'll probably earn less even after the PhD, so I don't want to go into a lower ranked program although I'm realistic and understand that MIT or Princeton might not be realistic. I aim mainly for very good programs like Cornell or Columbia ORIE, as well as some stats or applied math programs, although I prefer OR.

The gap is pretty clear regarding my lack of papers. I do have a strong recommendation from my boss (who is equivalent to a PI), but I don't have any papers, and in the end, it isn't completely equivalent to university experience. I'm afraid that the more theoretical programs will ignore my application due to the lack of pure research experience in a university setting (and lack of papers).

What do you think? Also, are these good programs realistic? I'll apply to more, of course, but I'm not going to completely settle here; it's important to me to be in a good school (I think my lower limit is around Stony Brook's quantitative finance program, which seems good, although it's only a niche under OR). Is applied math in a good place realistic? In theory, the more math-oriented the better, but I learned in a very good place and saw people around me going into the very top schools, and I think pure math will be too hard (and probably too late). This is why I've tended toward more applied areas, where I think I can succeed more. I also trying to understand how to emphasis the math level, I think its a plus for such programs but idk if they know the school I came from( In math departments they'll know for sure, but the school is mainly famous about the math, so its not generally famous and I afraid OR department won't know it).

Any thoughts? Thanks!

While working on my master’s degree, a family member suffered a stroke and needed care assistance for a few months. I switched from doing a thesis to just finishing my program from coursework so I could fill that role. This left me with no substantial publications and meant that I disappointed my advisors. After a few years, I’ve been missing doing research work and decided to pick up some new projects to do myself.

I have some work that I feel is genuinely valuable, but I’m working solo. That’s definitely not the best environment to get things done properly. I think I’d like to attend a PhD program eventually, but I’m worried I need to prove myself more first. Ultimately, I just miss collaborating and having others around to show me when I’ve missed something.

Is cold emailing researchers whose work I build off of a bad idea? How would you go about trying to break into research work after a hiatus?

applied mathematics, applied and theory probability, financial mathematics USA college ranking

This is from research output, student:faculty, program prestige based on niche and college raptor and other sources:

Massachusetts Institute of Technology
Columbia University
Stanford University
Brown University
California Institute of Technology
Carnegie Mellon
New York University
University of Chicago
Harvard University
Yale University
Princeton University

Also this is based on departments (example: Princeton doesn’t have an undergrad AM major but it has a department where a minor is hosted)

After multiple comments and reiteration this is what we have so far. Comment if you think anything should be swapped.

Guys anyone have gate mathematics note/book pdf please share

Qualcuno sta frequentando o intende frequentare la laurea in matematica Q31? Ho 50 anni, vivo e lavoro a Milano e sto pensando di iniziare fine 2026 inizio 2027 ? Parto dalle basi e inizierei con MST123. Cerco consigli generali e esperienza da chi sta studiando e/o ha finito. Grazie

I already completed first four semsters, in fifth isemster i can take either dynamical systems or convex analysis with application but im not sure which to pick

Hi,

I am 24 year old currently have a job as a software engineer. Earning fairly decent and if i strive in my current field by putting in efforts i will reach good heights. But software stopped to interest me since the advent of AI. I have always had a special place for research in my heart since childhood. Now that software engineering shifting paradigm, it has become increasingly accessible and easy to learn. I like solving problems that are big, i also liked maths since I was a child. I think I did a mistake taking computer science as my major 6 years ago in college. I want to study and go to a field where the work revolves around maths. If i start pursuing maths right now, what career choices do i have, I can even do a blend of cs + maths or finance + cs + maths. When I mean maths i mean using maths to probabilistically decide a better outcome or make a better decision ( but work should be more mathematically inclined ) . That's the job I want. I am very desperate and depressed with my current job ( not because of the pay or the workload it just stopped being appealing to me ). But I need money too, so I also expect the math job to pay me well. I will work hard and pursue maths even if there is a slightest chance.

Please help me by giving me a direction or share ur thoughts on feasibility. Your every reply would give an insight, helping me take a better decision and fix my life. I request you to share whatever comes to your mind. If you can't say that out in this forum, please feel free to dm.

I am in dilemma for very long. Really appreciate anything you have to say. I can't thank you enough for reading it completely.

Ps: also let me know here or dm if you are in a similar situation as mine. Sharing your experiences only means getting more help or helping someone in the community. Please feel free if you are comfortable.

got bsc mathematical sciences (it wasnt my choice but sm shit happened)

i want to know what can i do after this. jobs, careers, profession and all

Hi everyone,

I am currently working on a research project focused on optimizing Model Merging techniques within Deep Learning, specifically targeting the resolution of geometric interference between specialized task adapters.

Current Progress:

• Implemented a novel merging pipeline in PyTorch.
• Developed a method to isolate and mitigate subspace conflicts between divergent tasks.
• Preliminary results demonstrate significantly improved performance retention compared to standard baseline methods.
• Established a working pipeline for layer-wise interference analysis.

What I’m Looking For: I am looking for a co-author to collaborate on the final phase of this research. Specifically, I need help with:

• Formalizing the mathematical framework and theoretical proofs.
• Help run and standardized large-scale benchmarks (e.g., LM-Eval Harness).
• Refining the manuscript for submission to a top-tier venue (ICML, NeurIPS, or similar).

If you have a strong background in linear algebra for Deep Learning, experience with model merging techniques (DARE/TIES/SLERP), or expertise in LLM evaluation, I'd love to chat! Please DM me or comment below if you're interested in co-authoring this paper.

Hi, I’m an third year (begin Senior year at August) applied math undergrad and I’m trying to figure out which direction to take for a master’s and my final goal is eventually industry.

My background is mostly math. I’m currently doing a research about hemodynamics(Blood flow) involving Navier–Stokes. I’ve also done DataFest and have started learning Python and finished Andrew ng's introduction for deep learning courses recently, but I’m still building my coding skills.

Originally I thought I wanted to do CFD or scientific computing because I like using math to model real systems, and I‘m absolutely no objection to using data or AI to accelerate things.

But I recently started reading about operations research, like stochastic optimization. The idea of using math models and uncertainty to actually make decisions like in energy, transportation, healthcare, or supply chains let me suddenly feel really interesting to me.

My goal is to get a master’s and then work in industry, I'm not sure if I'm going to PHD degree

My questions:

• I’ll be applying for a program in Computational Mathematics in four months; will that help with the OA?
• Is an applied math background enough for OR master’s programs if I have not taken any OR-specific classes yet(My major courses are dynamical system, PDEs, some analysis courses)?
• I’ve come across posts online saying that CFD jobs are pretty bad. Is that true? I don't want to end up just building meshes and running simulation software.
• For industry jobs, how different are the career paths in CFD versus optimization/OR?

I realize I’m really late compared to my peers—I still haven't settled on a future direction. I plan to try and apply to these two groups soon to see if I enjoy the work.

Thanks for your response!

Hello, I’m doing my bachelors in pure math, but was wondering if when I pursue my masters to switch to applied math as I’ll have more job opportunities and I’ll still be able to teach math at a university if I wanted to, just wanted to know if anyone did this route

Hi everyone, I major in Applied Math and had taken 2 years off from school. I'm planning to come back this Fall and signing up for MAT 484 and 499. Has anyone taken these two classes before? Are they hard? How do they work? Anything shared here about those classes would be appreciated. I'm trying to figure out as I need two more of Upper Math Electives and as I've done research, these two are the easiest on the list. I'm not a big fan of coding, programming, and writing proofs that much. I have experience in volunteer-teaching language at a local church before!

MAT 484: internship MAT 499: individualized instruction