"diving deeply into" is correct and usable in written English.
For example, "He was diving deeply into the research, hoping to uncover the forgotten truth."
Coming off a year of record profits fueled by using the firm's capital to take some highly lucrative risks – particularly by diving deeply into subprime mortgages, leveraged loans and complex derivatives – Mr. Mack had much to celebrate.
He then took off for several minutes on an explanation of what ails Mexican soccer, diving deeply into the "corrupt" buying and selling of club players to mint stars instead of solid teams, the exhausting schedule driven by television's demands for some sort of championship nearly every weekend, the instability of coaching.
Wills hates the book because (I'm simplifying — you should read the full review) he reads it as saying that we can learn how to live merely by allowing the surface of things — many things — to "whoosh" over us, rather than by diving deeply into a single philosophy or religion.
They do this instead of diving deeply into policy issues, talking to each other and having substantive interactions with constituents.
Be fearless about diving deeply into that "gem" with the other person.
After being baptized in black lit, I expanded my literary worldview by diving deeply into "the lost generation" writings of Ernest Hemingway, F. Scott Fitzgerald, John Dos Passos and their peers.
Dives deeply into the Knights Landing architecture.
Those who said that Romneycare's alleged popularity in Massachusetts proved that mandates were a political winner weren't diving deeply enough into the polling data.
Showing up is the third of the triple purpose of life and answers the question "What do I do?" Or, as Gustin says, "What is the Vision, Task and Delivery System of my purpose... what gift is truly mine so that I may give it away freely to my people?" Too often, people try to start to show up without ever diving deeply enough into the center of their own being.
All beaked whales are extremely elusive, diving deeply and spending very little time at the surface.
Like Dostoyevsky and Tolstoy, on that level of diving deep into the soul and the time.
