Guillory works in functional analyis, especially Douglas algebras. "I learned a lot of mathematics, and put it in the perspective that I needed to continue in this field," he continues. "I still get help from my colleagues at Berkeley. Eventually, I hope to write a book about Douglas algebras."

10. **Guillory, Carroll**; Li, Kin Y. __Algebras of Blaschke products unimodular on trivial parts__. Complex Variables Theory Appl. **35** (1998), no. 4, 307--318.

9. **Guillory, Carroll**; Izuchi, Keiji __Interpolating Blaschke products of type __$G$. Complex Variables Theory Appl. **31** (1996), no. 1, 51--64.

8. **Guillory, Carrol**l; Izuchi, Keiji __Interpolating Blaschke products and nonanalytic sets__. Complex Variables Theory Appl. **23** (1993), no. 3-4, 163--175.

7. **Guillory, Carroll**; Izuchi, Keiji __Minimal envelopes of Douglas algebras and Bourgain algebras__. Houston J. Math. **19** (1993), no. 2, 201--222.

6. **Guillory, Carroll**; Izuchi, Keiji __Maximal Douglas subalgebras and minimal support points__. Proc. Amer. Math. Soc. **116** (1992), no. 2, 477--481.

5. **Guillory, Carroll** __A characterization of a sparse Blaschke product__. Canad. Math. Bull. **32** (1989), no. 4, 385--390.

4. **Guillory, Carroll J.** __Douglas algebras of the form __$H\sp \infty[\overline q]$. J. Math. Anal. Appl. **126** (1987), no. 1, 269--274.

3. **Guillory, Carroll**; Sarason, Donald __The algebra of quasicontinuous functions__. Proc. Roy. Irish Acad. Sect. A **84** (1984), no. 1, 57--67.

2. **Guillory, Carroll**; Izuchi, Keiji; Sarason, Donald __Interpolating Blaschke products and division in Douglas algebras__. Proc. Roy. Irish Acad. Sect. A **84** (1984), no. 1, 1--7.

1. **Guillory, Carroll**; Sarason, Donald __Division in __$H\sp{\infty }+C$. Michigan Math. J. **28** (1981), no. 2, 173--181.