Math POTW for Graduate Students Forum

MHB Where is the Gaussian curvature zero, maximum, and minimum on a torus?
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MHB Can You Find the Minimal and Characteristic Polynomials of This Operator?
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MHB Is $A^4=1$ for a $3\times 3$ matrix over $\mathbb{Q}$ if $A^8=1$?
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MHB Is the integral of a nonnegative Lebesgue integrable function continuous?
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MHB Can $f(iA)$ be a unitary operator if $A$ is hermitian?
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MHB What is the flow of a vector field with a constant vector and linear map?
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MHB Can You Solve the Hamilton-Jacobi Equation for the Linear Harmonic Oscillator?
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MHB How do we prove the convergence of a series involving non-integral values?
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MHB How do you solve the integral of 1 over (a+cos(theta)^2) from 0 to 2pi for a>1?
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MHB What is the relationship between derivations and automorphisms of a Lie algebra?
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MHB What is the pre-image of a group homomorphism?
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MHB Problem of the Week #23 - November 5th, 2012
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MHB Is Compactness Equivalent to Limit Point Compactness in Topological Spaces?
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MHB What is the solution to Problem of the Week #21?
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MHB What is the Laplacian of $y^k$ in the upper half plane with hyperbolic metric?
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MHB Can the Volterra operator have nonzero eigenvalues?
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MHB Problem of the Week #18 - October 1st, 2012
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MHB What is the solution to this week's polynomial problem on the unit circle?
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MHB Is $F=(f_1,f_2) : N\rightarrow M_1\times M_2$ a smooth map?
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MHB What are the fundamental forms and curvatures of a helicoid in $\mathbb{R}^3$?
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MHB Is the Uniform Limit of Continuous Functions on a Subset also Continuous?
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MHB Is the product space Hausdorff if both $X$ and $Y$ are Hausdorff?
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MHB Is the Pre-image of a Borel Set Measurable?
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MHB Is Continuity Preserved Under Union of Subspaces?
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MHB Manifold Theory: Computing Curvature and Verifying Geometries
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MHB Is $f$ Measurable if $g$ is Measurable on $\mathbb{R}$?
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MHB How can the diagonal of a topological space determine if it is Hausdorff?
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MHB Can a Closed Subspace of $L^1(\Bbb R)$ be Contained in All $L^p(\Bbb R)$ Spaces?
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MHB Can the Mapping $F$ Always Interchange Two Points in a Unit Disk?
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MHB How are these spaces homotopy equivalent?
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MHB Solution: How does $s^{\prime}$ help us decompose $B$ into $A$ and $C$?
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MHB How to prove convergence of integrals using almost everywhere convergence?
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MHB Why was there no solution to this week's problem?
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MHB Lebesgue Integrable Functions on Measurable Sets
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MHB What are the Guidelines for Submitting Solutions to POTW Problems?
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POTW Graduate

Welcome to the Graduate POTW forum!

Math problems will be posted each week on Monday, most likely early in the morning (1am, 2am, etc.) Eastern Standard Time. There will be one problem each week at the university graduate math level.

All are welcome to try, but those with masters or PhD will be most comfortable.

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