## About me

My name is Almaz Butaev and I am a Visiting Assistant Professor at the Department of Mathematical Science, University of Cincinnati. I received my PhD from Concordia University (Montréal) under the supervision of Professor Galia Dafni. Before coming to UC, I was a postdoc at University of Calgary, where my advisor was Professor Alex Brudnyi. Here is my curriculum vitae (as of August 2022).

### Research

My research interests are harmonic analysis, function spaces, Whitney problems and analysis on metric measure spaces.

**Publications:**

- Butaev, A., Dafni, G.
*Approximation and Extension of Functions of Vanishing Mean Oscillation*. J Geom Anal**31**, 6892–6921 (2021). - Brudnyi, A., Butaev A
**.***On geometric preduals of jet spaces on closed subsets of R*. C. R. Math. Acad. Sci. Soc. R. Can.^{n}**42**(2020), no. 1, 10-20 - Butaev, A.
*On the stability of solutions for a family of parabolic equations with time delay on R*. Complex Anal. Synerg.^{n}**5**(2019), no. 1, 9 pages - Butaev, A.
*On some refinements of the embedding of critical Sobolev spaces into BMO.*Pacific J. Math.**298**(2019), no. 1, 1-26 - Ashurov, R. Butaev, A.
*On some class of nonseparable continuous wavelet transforms.*Appl. Anal.**91**(2012) no. 12, 2257–2265 - Butaev, A.
*On multiple Fourier integrals of piecewise smooth functions with discontinuities of the second kind*. Appl. Math. Lett*.***25**(2012), no. 3, 567–570 - Ashurov, R. Butaev, A. Pradhan, B.
*On generalized localization of Fourier inversion associated with an elliptic operator for distributions.*Abstr. Appl. Anal. (2012) ID 649848 13 pages - Ashurov, R. Butaev, A.
*On continuous wavelet transforms of distributions*.**24**(2011) no. 9, 1578–1583 - Ashurov, R. Butaev, A.
*The Kahane theorem for nonspherical partial sums of Fourier integrals*. C. R. Math. Acad. Sci. Paris**348**(2010), no. 19-20, 1103–1106 - Ashurov, R. Butaev, A.
*On the Pinsky phenomenon.*J. Fourier Anal. Appl.**16**(2010), no. 5, 804–812. - Ashurov, R. Butaev, A.
*On generalized localization of Fourier inversion for distributions.*Topics in functional analysis and algebra, 33–50,*Contemp. Math.*, 672, Amer. Math. Soc., 2016.

#### Manuscripts submitted for publication:

- Butaev, A
**.**, Dafni, G., Local vanishing mean oscillation - Butaev, A
**.**, Dafni, G., Locally uniform domains and extension of bmo functions.

#### In preparation:

- Brudnyi, A., Butaev, A. Traces of Lipschitz spaces on a Riemannian manifold
- Butaev, A., Liang, L., Shanmugalingam, N., Dirichlet form on metric measure spaces and graph approximations.

### Teaching

Fall 2022: Math 1008: Foundations of quantitative reasoning.

Summer 2022: Math 2073 Ordinary Differential Equations

Spring 2022: MATH 1044 - Applied Calculus I and MATH 1044 - Applied Calculus II

Fall 2021: MATH 1026 - Pre-Calculus and MATH 1044 - Applied Calculus I

### Conferences, Seminars and Talks

Here you can find some links to some talks, seminars and conferences

Recording of my talk at Fields Institute's Focus Program on Analytic Function Spaces and their Applications

### Contact

My office at UC is **5428D****, French Hall**.

To contact, please, send me an email at butaevaz"AT"ucmail.uc.edu (e.g. by pressing the ✉ button on the right)