## About me

My name is Almaz Butaev and from August 2021 to August 2023 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.

### 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

Spring 2023: Math 1061: Calculus I

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

### 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)