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        Questions tagged [soft-question]

        Questions that are about research in mathematics, or about the job of a research mathematician, without being mathematical problems or statements in the strictest sense. In other words, questions that can be answered without making computations or applying theorems and axioms.

        8
        votes
        2answers
        634 views

        Is differential topology a dying field?

        I recently had a post doc in differential topology advise against me going into the field, since it seems to be dying in his words. Is this true? I do see very little activity on differential topology ...
        -3
        votes
        0answers
        112 views

        What are recent developments, and/or cutting-edge topics in your field of expertise? [on hold]

        I am trying to get a better sense of contemporary research in a broad range of fields in mathematics, and what current researchers are focusing on within those specific fields. For instance, I have ...
        0
        votes
        0answers
        341 views

        A list of examples of beautiful but useless mathematics [on hold]

        I posted this question on math.stackexchange, but got no formalized answers, so I'd like to try again here. The entirety of the question is copied below the line: Paul Erd?s said this about the $3n + ...
        -5
        votes
        1answer
        316 views

        MacLane–Birkhoff's “Algebra” vs Jacobson's “Basic Algebra I,II” vs Lang's “Algebra” [on hold]

        (Cross-posted at Math Stackexchange) I'm searching for an apt textbook(s) on Abstract Algebra for a very advanced undergraduate/graduate level course in Algebra, and would be grateful for any help. ...
        0
        votes
        0answers
        137 views

        Reading list in dynamical systems

        So I’ve managed to gather from various sources, a plethora of books in dynamical systems. Now I’m wondering which of them to read, and in what order. So far these are the books I’ve found/been ...
        0
        votes
        0answers
        58 views

        Fractional and Exterior Calculus

        I am interested in fractional calculus and was wondering is there an equivalent/analagous fractional exterior calculus or fractional theory of differential forms? If so can someone point me out to ...
        23
        votes
        5answers
        3k views

        Is the field of q-series 'dead'? [on hold]

        I had a discussion with my advisor about what am I interested as my future research direction and I said it is special functions and q-series. He laughed and said that the topic is essentially dead ...
        0
        votes
        0answers
        58 views

        Alternate Ways of Writing Complex Summations

        In my writing, I often have to consider summation formulas where describing the terms of the summation make the equation rather weirdly spaced out. For instance, I am currently considering the formula ...
        12
        votes
        4answers
        2k views

        Grade-school elementary algebra presented in an abstract-algebra style?

        I remember once hearing a (probably apocryphal) story about a university math professor that tried to teach a gradeschool class about algebra by telling them a few simple axioms and definitions and ...
        0
        votes
        1answer
        44 views

        Focusing and nonfocusing nonlinear terms

        What is the mathematical and physical meaning of the terms focusing and nonfocusing when they refer to nonlinear terms in a dispersive equations?
        0
        votes
        0answers
        305 views

        PhD-like placements to do small pure math research projects

        Does the mathoverflow community know of any payed internships, summer schools other placements in topology, differential geometry and/or ? Specifically, I'm not looking for highly structured programs,...
        1
        vote
        1answer
        325 views

        Rejection of article without mentioning specific reason [closed]

        After 3 months of submission I got this mail from EJC without any specific reason of rejection. "We regret to inform you that we have decided not to proceed with publication of your submission "......
        1
        vote
        0answers
        137 views

        Lecture notes in complex algebraic geometry (which might follow Voisin's book)

        I have two questions here, Whats the difference in the target audience/required-background between Voisin's two volumes and Griffiths-Harris' book on algebraic geometry which also seems highly tied ...
        20
        votes
        9answers
        3k views

        How do we explain the use of a software on a math paper?

        Suppose one has written a math/computer science paper that is more focused in the math part of it. I had a very complicated function and needed to find its maximum, so I used Mathematica (Wolfram) to ...
        3
        votes
        0answers
        46 views

        Is projection method really applicable for numerical solution of linear integral equations in $ L^p \ (p \neq 2)$ setting?

        Projection method is a traditional method to numerically handle problem of linear integral equation. The routine way is to do it in $ L^2 $ setting. For example: Let $ A:L^2(a,b) \to L^2(a,b) $ be a ...

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